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The integration of cos^3(x) can be solved using a trigonometric identity. Here's the integration step by step: ∫cos^3(x) dx = ∫(cos^2(x) * cos(x)) dx Now, you can use the identity cos^2(x) = 1 - sin^2(x): = ∫(1 - sin^2(x)) * cos(x) dx = ∫cos(x) dx - ∫(sin^2(x) * cos(x)) dx The first integral, ∫cos(x) dx, is straightforward and equals sin(x): = sin(x) - ∫(sin^2(x) * cos(x)) dx Now, for the remaining integral, you can use a u-substitution. Let u = sin(x), so du = cos(x) dx: = sin(x) - ∫(u^2 * du) Now, integrate u^2 with respect to u: = sin(x) - ∫u^2 du = sin(x) - (u^3 / 3) + C Now, replace u with sin(x): = sin(x) - (sin^3(x) / 3) + C So, the integral of cos^3(x) is: ∫cos^3(x) dx = sin(x) - (sin^3(x) / 3) + C, where C is the constant of integration.

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Class 12 math lab manual observation solutions of activity 1234 and 8.

Posted by Asim Gul 2 years, 1 month ago

CBSE > Class 12 > Mathematics

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Sinx-2cosy=y Diffretiate

Posted by J J 2 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Ankit Singh 2 years, 1 month ago

dy/dx= cosx +2sinx dy/ dx , dy/ dx ( 1-2sinx ) = cosx , dy / dx = cosx / 1-2 sinx

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Integration of x²tan^-1xdx

Posted by Radha Kumari 2 years, 1 month ago

CBSE > Class 12 > Mathematics

2 answers

Pranav Tyagi 2 years, 1 month ago

Use by parts

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Aman Kumar 2 years, 1 month ago

syllbus katm ho gaya ka

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e power x into (sinx+cosx)dx=

Posted by Kusuma .R 2 years, 1 month ago

CBSE > Class 12 > Mathematics

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3+4+7+8

Posted by Joʜɪʀuʟ Faujɪ 2 years, 1 month ago

CBSE > Class 12 > Mathematics

3 answers

Ankit Singh 2 years, 1 month ago

22(2x^°-y^°)

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Joʜɪʀuʟ Faujɪ 2 years, 1 month ago

3+5

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Joʜɪʀuʟ Faujɪ 2 years, 1 month ago

5+6

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Matrix of [6 5][1 by -1]

Posted by Arushi Raj 2 years, 1 month ago

CBSE > Class 12 > Mathematics

2 answers

Aseem Mahajan 2 years, 1 month ago

write it like this
$$\left[\begin{array}{cc}6 & 5 \\ 1 & -1\end{array}\right]$$

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Lavina ..... 2 years, 1 month ago

[6 5] [-1 1]😂 =[6*-1 + 5*1] = [-6+5] =[-1] answer

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2. Find the number of right angles turned through by the hour hand of a clock when it goes from- (i) 1 to 4.

Posted by Joʜɪʀuʟ Faujɪ 2 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Ankit Singh 2 years, 1 month ago

One

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4a² + 9b² - 4c² + 12ab

Posted by Jharna Jyoti Horonia 2 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Ankit Singh 2 years, 1 month ago

(2a+3b)^2 -(2c)^2 =(2a+3b+2c) (2a+3b-2c) if it has to factorised

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EXAMPLE 9 The solution set of the inequation |[|x| - 7]| - 5 < 0 is ([] denotes the greatest integer function) (a) [3, 12) (c) (- 12, 12) (b) (- 12, - 3] (d) (- 12, - 3] cup[3,12)

Posted by Account Deleted 2 years, 1 month ago

CBSE > Class 12 > Mathematics

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The two lines X=ay+b, Z=cy+d and X = a'y+b' , Z=c'y+d' are perpendicular to each other , if (a) a/a' + c/c' = 1 (b) a/a' + c/c' = -1 (c) aa' + cc' = 1 (d) aa' + cc' = -1

Posted by Omkar Sachin Salunkhe. 2 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Ankush Thakur 2 years, 1 month ago

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d/dx( log x )^x+(x)^log x

Posted by Khanak Mittal 2 years, 2 months ago

CBSE > Class 12 > Mathematics

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4. Shantanu decided to collect money for buying motorcycle whose cost is € 200,000. The initial amount in his Bank account is * 50,000. On the basis of past drives, it is determined that after t months the beginning of the drive, the rate dx/dt at which money is arranged for his motorcycle is proportional to the difference between the desired goal of * 200,000 and the total amount x in the Bank account at that time. After one month, a total of 100,000 is in the Bank account. Now answer the following questions using differential equation method: i. What is the differential equation created? i. What is the fund accumulated after 3 months? i. What is the fund accumulated after 5 months?

Posted by Nitesh Kumar 2 years, 2 months ago

CBSE > Class 12 > Mathematics

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Shantanu decided to collect money for buying motorcycle whose cost is ₹ 200,000. The initial amount in his Bank account is ₹ 50,000. On the basis of past drives, it is determined that after t months the beginning of the drive, the rate dx/dt at which money is arranged for his motorcycle is proportional to the difference between the desired goal of ₹ 200,000 and the total amount x in the Bank account at that time. After one month, a total of ₹ 100,000 is in the Bank account. Now answer the following questions using differential equation method:

Posted by Raghvendra Towari 2 years, 2 months ago

CBSE > Class 12 > Mathematics

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Three friends raju,ravi

Posted by Yuvraj Bhardwaj 2 years, 2 months ago

CBSE > Class 12 > Mathematics

1 answers

Account Deleted 2 years, 2 months ago

Who is third one ?

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Differentiation of e^logx^3

Posted by Shajee Jabeen 2 years, 2 months ago

CBSE > Class 12 > Mathematics

2 answers

Piyush Kumar . 2 years, 1 month ago

3x^2

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Shaurya Awasthi 2 years, 1 month ago

x^3

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tan^-1 {2x/1-x^2} diff wrt x

Posted by Gursewak Singh 2 years, 2 months ago

CBSE > Class 12 > Mathematics

1 answers

Tushar Tushar 2 years, 2 months ago

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Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
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IfA = [[- 3, - 2, - 4], [2, 1, 2], [2, 1, 3]], B = [[1, 2, 0], [- 2, - 1, - 2], [0, - 1, 1]] then find AB and use it to solve the following system of equations x - 2y = 3 2x - y - z = 2 - 2y + z = 3

Posted by Jadavarman Devendra Pandiyar.R 2 years, 2 months ago

CBSE > Class 12 > Mathematics