Home
Class 12
MATHS
Determine a positive integer n such that...

Determine a positive integer `n` such that `int_0^(pi/2)x^nsinx dx=3/4(pi^2-8)`

Promotional Banner

Similar Questions

Explore conceptually related problems

Determine a positive integer nlt=5 such that int_0^1e^x(x-1)^n=16-6e

Evaluate: int_0^(pi/2)xcotx dx

If n is odd then int_(0)^(pi//2)sin^(n)x dx is

int _0^(pi/2) (sin^2x)/(sinx+cosx)dx

Prove that int_(0)^(pi/4)log(1+tanx)dx=(pi)/(8) log2.

Prove that int_(0)^(pi)(xsin^(3)x)/(1+cos^(2)x)dx=pi/2(pi-2)

int_(0)^(pi//2)sinx sin2x sin3x sin 4x dx=