Home
Class 12
MATHS
Evaluate : int(0)^(pi//2) sin^(3) x cos ...

Evaluate : `int_(0)^(pi//2) sin^(3) x cos x dx`

Text Solution

AI Generated Solution

To evaluate the integral \( I = \int_{0}^{\frac{\pi}{2}} \sin^3 x \cos x \, dx \), we can use substitution. Here’s the step-by-step solution: ### Step 1: Set up the integral Let \[ I = \int_{0}^{\frac{\pi}{2}} \sin^3 x \cos x \, dx \] ...
Promotional Banner

Similar Questions

Explore conceptually related problems

int_(0)^(pi//2) x sin x cos x dx

int_(0)^( pi/2)sin^(2)x cos x dx

int_(0)^(pi/2)(sin^(2)x*cos x)dx=

int_(0)^(pi//2) x sin cos x dx=?

Evaluate :int_(0)^((pi)/(2))(sin x+cos x)dx

Evaluate: int_(0)^((pi)/(2))|sin x-cos x|dx

int_(0)^(pi) x sin x. cos^(2) x dx

int_(0)^(pi//2) (sinx )/(sin x + cos x ) dx=

Evaluate :int_(0)^((pi)/(2))(a sin x+b cos x)/(sin((pi)/(4)+x))dx

Evaluate: int_(0)^((pi)/(2))2sin x cos x tan^(-1)(sin x)dx