Question
Evaluate the definite integral from -π/2 to π/2 of (x^4) (sin x)/(1 + x^0)dx.
Answers
MathMate
I do not know if there is a typo, but x^0=1, so the denominator is just "two".
If you examine the function carefully, you will notice that it is an odd function, i.e. f(x)=-f(-x).
The definite integral of an odd function from -a to a (a=any finite number) is ZERO.
If you examine the function carefully, you will notice that it is an odd function, i.e. f(x)=-f(-x).
The definite integral of an odd function from -a to a (a=any finite number) is ZERO.