# Basic maths-calculus-Q5

+1 vote

The value of the integral   is ____?

reshown May 24

We know the following property of definite integral :

For the given question, $f(x) = sin^3x cos^5x$

$a = \pi/6; b = 5\pi/6$

$f(a+b-x) = -sin^3x cos^5x$   (because $sin(\pi - x) = sinx ; cos(\pi - x) = -cosx$ )

Let the given intergral equation be L, then we have L = -L;

2L = 0

L = 0

answered May 27 by (112,390 points)