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(x-1/x²+1)dx = (x/x²+1)dx - (1/x²+1)dx Let (x/x²+1)dx be I1 and (1/x²+1)dx be I2 I2=tan-¹x I1=(x/x²+1)dx Let x²=u 2xdx=du On substitution, I1=(1/2)(1/u+1)du =log|u+1|/2 =log|x²+1|/2 Ans. I1-I2 = log|x²+1|/2 - tan-¹x

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Adarsh Ninja 4 years, 7 months ago

1/2 log|x²+1| - tan—¹x

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miscellaneous of ch 6

Posted by Banover .... 4 years, 8 months ago

CBSE > Class 12 > Mathematics

1 answers

Nitish Singh 4 years, 8 months ago

Go through the solution section

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Two vector a and b prove that the vector of mod a.b+mod b.a is orthogonal to thevector of mod a.vecb- mod of vec b Vec a

Posted by Harsh Sharma 4 years, 8 months ago

CBSE > Class 12 > Mathematics

0 answers

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x=(t+1/t)^a y=a^(t+1/t) find dy/dx

Posted by Simar Kaur 4 years, 8 months ago

CBSE > Class 12 > Mathematics

2 answers

Twinkle . 4 years, 7 months ago

a^(1/t).t^(a-1).log a.(t+1)^(1-a)

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Gurharman Kaur 4 years, 8 months ago

dy/dx=(-a^t+1/t.loga)/a.(t+1/t)^a-1.1/t^2

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P(A)=0.8, P(B)=0.5 and P(B/A)=0.4 . Find ?(? ∩ ?).

Posted by Amar Sankar Mahato 4 years, 8 months ago

CBSE > Class 12 > Mathematics

5 answers

Yash Nagwal 4 years, 7 months ago

5/4

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Twinkle . 4 years, 7 months ago

P(B/A) = 0.4 P(B∩A)/ P(B) = 0.4 P( B ∩ A) / 0.5 = 0.4 P( B ∩ A) = 0.4×0.5 P( A ∩ B) = 0.20

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Ashish Tanwar 4 years, 8 months ago

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Rajaneha Rajasekar 4 years, 8 months ago

P(B/A)= 0.4= p(A intersection B) /p(A) . Then p( A intersection B) = p(B/A) × P(A) .that is p(A intersection B) = 0.4×0.8= 0.32

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Parth Pathak 4 years, 8 months ago

P(B/A) = 0.4 P(B intersection A)/ P(B) = 0.4 P( B intersection A) / 0.5 = 0.4 P( B intersection A) = 0.4*0.5 P( A intersection B) = 0.20

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In how many ways, 48 small squares of 1cm×1cm can be arranged in that the resulting area is 48cm^2?

Posted by Manshi Porwal 4 years, 8 months ago

CBSE > Class 12 > Mathematics

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X^y

Posted by Arpita Rathore Rathore 4 years, 8 months ago

CBSE > Class 12 > Mathematics

3 answers

Gurharman Kaur 4 years, 8 months ago

=dy/dxlogx+y/x

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Ashutosh Kesarwani 4 years, 8 months ago

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Gourav Chhapola 4 years, 8 months ago

Taking log Y×logX

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Conduct a survey at population in your locality taking a sample of at least 50 families.prepare a project report with respect to the following points Represent the data showing age using class intervals Compute the average income of the families Find the variance of the income of the families

Posted by Suganya Mani 4 years, 8 months ago

CBSE > Class 12 > Mathematics

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Binary operation chapter h kya h

Posted by Gungun Gupta?? 4 years, 8 months ago

CBSE > Class 12 > Mathematics

2 answers

Gungun Gupta?? 4 years, 7 months ago

Sach me kya ye remove ho gya h

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Student Of The Year 4 years, 8 months ago

Chapter nhi h topic h relation and function chapter ka. And this topic is removed in revised mathematics sallybus.

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Solve 3 sin inverse x + cos inverse x =π

Posted by Srijana Sharma 4 years, 8 months ago

CBSE > Class 12 > Mathematics

2 answers

Gourav Chhapola 4 years, 8 months ago

3/√(1-x² ) - 1/√(1-x² ) =2/√(1-x² )

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Mansi Maheshwari 4 years, 8 months ago

X=1/root2

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(1-1/x²)dx differentiate it

Posted by Prince Raj 4 years, 8 months ago

CBSE > Class 12 > Mathematics

4 answers

Twinkle . 4 years, 7 months ago

2/x³

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Gurharman Kaur 4 years, 8 months ago

-2/x^3

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Gourav Chhapola 4 years, 8 months ago

x+1/x

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Mansi Maheshwari 4 years, 8 months ago

2/x3

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Sin^-1(cos43pi/5)

Posted by Mohamed Faizul 4 years, 8 months ago

CBSE > Class 12 > Mathematics

0 answers

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Find the co-ordinates of foot of perpendicular from the point (1,6,3) to the line ?⃗ = ?̂+ 2?̂ + ?(?̂+ 2?̂+ 3?̂).

Posted by Guvv Rona 4 years, 8 months ago

CBSE > Class 12 > Mathematics

2 answers

Gurharman Kaur 4 years, 8 months ago

Equation show nii ho rhi properly

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Guvv Rona 4 years, 8 months ago

Can I delete it

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If ? = log⁡tan⁡( ? 4 + ? 2 ), show that ?? ?? − ???? = 0.

Posted by Aishwarya Singh 4 years, 8 months ago

CBSE > Class 12 > Mathematics

0 answers

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dy/ dx = √4-y^2 ( -2<y<2) , x=1, y=2

Posted by Debashish Budek 4 years, 8 months ago

CBSE > Class 12 > Mathematics

1 answers

Gurharman Kaur 4 years, 8 months ago

Question ch -2 whole de product ch hai

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How to solve \displaystyle \int \frac{e^{2x}+e^{-2x}}{e^{2x}-e^{-2x}}dx?

Posted by Sarvesh Kankonkar 4 years, 8 months ago

CBSE > Class 12 > Mathematics

0 answers

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Rules of practical geometry

Posted by Rahi Talib 4 years, 8 months ago

CBSE > Class 12 > Mathematics

1 answers

Alex Pal 4 years, 8 months ago

The sum of three no is 6 if we multiply third no by three

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Topper sheets class 12 maths paper

Posted by Vanshaj Matwa 4 years, 8 months ago

CBSE > Class 12 > Mathematics

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Privious yer paper

Posted by Vanshaj Matwa 4 years, 8 months ago

CBSE > Class 12 > Mathematics

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Find the maximum value of (1/x)*x is

Posted by Sushant Adhana 4 years, 8 months ago

CBSE > Class 12 > Mathematics

2 answers

Shraddha ✨✰✰ 4 years, 8 months ago

For every real number (or) valued function f(x), the values of x which satisfies the equation f¹(x)=0are the point of it's local and global maxima or minima. This occus due to the fact that, at the point of maxima or minima, the curve of the function has a ,zero slope. We have function f(x)=(1/x)^x We will be using the equation, y=(1/x)^x Taking in both sides we get ln y=−xlnx Differentiating both sides with respect to x. y.dy/dx = −lnx − 1 dy/dx=−y (ln x + 1) Equating dy/dx to 0, we get −y(ln x + 1)=0 Since y is an exponential function it can never be equal to zero, hence ln x + 1 = 0 ln x = −1 x=e^−1 So, for the maximum value we put x=e^−1 in f(x) to get the value of f(x) at the point. f(e^−1) = e^1/e Hence the maximum value of the function is e^1/e. ∴ So, the answer is option →B. {e^1/e}

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बेबि बीच 4 years, 8 months ago

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18. ‘A’ speaks truth in 80% cases and ‘B’ speaks truth in 70% case. If A throws a die and reports it is a 6 which probability concept is used to find that it is a 1. Actually a 6 a) Baye’s theorem b) Addition theorem on probability c) Both of these d) none of these 2. They contradict each other in reporting the same fact with probability. a) 39/50 b) 19/50 c) 38/50 d) none of these 3. They agree with each other a) .0056 b) 0.56 c) .0006 d) 0.62 4. Probability A tells a lie and that it is not a 6 a) ଵ ଺ b) ହ ଺ c) ସ ଷ଴ d) ସ ଷ଴ 5. Probability B tells a lie and that it is not a6 a) 1/4 b) 2/3 c) 1/3 d) 1/6

Posted by Shruthi Sivakumar 4 years, 8 months ago

CBSE > Class 12 > Mathematics