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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 5 years ago

1/2 log|x²+1| - tan—¹x

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miscellaneous of ch 6

Posted by Banover .... 5 years ago

CBSE > Class 12 > Mathematics

1 answers

Nitish Singh 5 years 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 5 years ago

CBSE > Class 12 > Mathematics

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

Posted by Simar Kaur 5 years ago

CBSE > Class 12 > Mathematics

2 answers

Twinkle . 5 years ago

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

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Gurharman Kaur 5 years 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 5 years ago

CBSE > Class 12 > Mathematics

5 answers

Yash Nagwal 5 years ago

5/4

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Twinkle . 5 years 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 5 years ago

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Rajaneha Rajasekar 5 years 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 5 years 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 5 years ago

CBSE > Class 12 > Mathematics

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X^y

Posted by Arpita Rathore Rathore 5 years ago

CBSE > Class 12 > Mathematics

3 answers

Gurharman Kaur 5 years ago

=dy/dxlogx+y/x

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Ashutosh Kesarwani 5 years ago

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Gourav Chhapola 5 years 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 5 years ago

CBSE > Class 12 > Mathematics

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Binary operation chapter h kya h

Posted by Gungun Gupta?? 5 years ago

CBSE > Class 12 > Mathematics

2 answers

Gungun Gupta?? 4 years, 11 months ago

Sach me kya ye remove ho gya h

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Student Of The Year 5 years 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 5 years ago

CBSE > Class 12 > Mathematics

2 answers

Gourav Chhapola 5 years ago

3/√(1-x² ) - 1/√(1-x² ) =2/√(1-x² )

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Mansi Maheshwari 5 years ago

X=1/root2

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(1-1/x²)dx differentiate it

Posted by Prince Raj 5 years ago

CBSE > Class 12 > Mathematics

4 answers

Twinkle . 5 years ago

2/x³

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Gurharman Kaur 5 years ago

-2/x^3

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Gourav Chhapola 5 years ago

x+1/x

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Mansi Maheshwari 5 years ago

2/x3

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Sin^-1(cos43pi/5)

Posted by Mohamed Faizul 5 years ago

CBSE > Class 12 > Mathematics

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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 5 years ago

CBSE > Class 12 > Mathematics

2 answers

Gurharman Kaur 5 years ago

Equation show nii ho rhi properly

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Guvv Rona 5 years ago

Can I delete it

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

Posted by Aishwarya A 5 years 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 5 years ago

CBSE > Class 12 > Mathematics

1 answers

Gurharman Kaur 5 years 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 5 years ago

CBSE > Class 12 > Mathematics

0 answers

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Rules of practical geometry

Posted by Rahi Talib 5 years ago

CBSE > Class 12 > Mathematics

1 answers

Alex Pal 5 years 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 5 years ago

CBSE > Class 12 > Mathematics

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Privious yer paper

Posted by Vanshaj Matwa 5 years ago

CBSE > Class 12 > Mathematics

0 answers

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

Posted by Sushant Adhana 5 years ago

CBSE > Class 12 > Mathematics

2 answers

Shraddha ✨✰✰ 5 years 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 5 years 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 5 years ago

CBSE > Class 12 > Mathematics