Question

integrate (x^3+x^4tanx) dx from x=-pi/4 to pi/4

Answer 1

\[\int\limits_{-\pi/4}^{\pi/4} (x^3+x^4tanx) dx\]

Answer 2

check whether x^3+x^4 tan x is odd function or not.
if its an odd function, then the integral =0

Answer 3

the function is odd if f(x) = -f(-x)
and a property of indefinite integral is
\(\int \limits_{-a}^af(x)dx=0\)
if f(x) is odd function,
\(\int \limits_{-a}^af(x)dx=2\int \limits_{0}^af(x)dx\)
if f(x) is even function.

Answer 4

what if its neither lol

Answer 5

if its neither, you have to integrate the function as it is....no simplification...