1.

Prove the following int_-1^1 x^(17) cos^4x dx = 0

Answer»

Solution :`(-X)^(17) cos^4(-x) = -x^(17)cos^4x`
`GT x^(17) cos^4x` is an ODD function.
THEREFORE `int_-1^1 x^(17) cos^4x dx = 0`
If F(x) is an odd function, then `int_-a^a f(x) dx = 0`


Discussion

No Comment Found

Related InterviewSolutions