What is the integral from-1 to 1 of t^7(1+t^8)^7 ?

The integral from-1 to 1 of t^7(1+t^8)^7 is 0

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integral from-1 to 1 of t^7(1+t^8)^7

\int_{- 1}^{1} t^{7} (1 + t^{8})^{7} d t

0

Solution steps

\int_{- 1}^{1} t^{7} (1 + t^{8})^{7} d t

If f(x) is an odd function and continuous at:

[- a, a]

then

\int_{- a}^{a} f (x) d x = 0

Parity of

t^{7} (1 + t^{8})^{7} :

Odd

= 0

What is the integral from-1 to 1 of t^7(1+t^8)^7 ?
The integral from-1 to 1 of t^7(1+t^8)^7 is 0