Question

need help on the attachment @Calculus1

Answer 1

Notice the limits are symmetric around 0. Now what about the function?

Answer 2

its a fraction, lol

Answer 3

Hint:
If f is an odd function, then
\[ \int_{-a}^a f(x) \ dx = 0 \]

Answer 4

is that always true?

Answer 5

what about an even function?

Answer 6

OOOOOOOh I think know the answer, but I'll let you get it... :)

Answer 7

Yes, you should prove it.

And clearly it is not true for an even function.

Answer 8

do need to use u-substitution for 1+x^(6)

Answer 9

No. Use my hint.

Answer 10

your hint is just saying that since its a odd function then it equal 0

Answer 11

yes