What is the integral from-7 to 7 of (t^3)/(11+8t^2) ?

The integral from-7 to 7 of (t^3)/(11+8t^2) is 0

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integral from-7 to 7 of (t^3)/(11+8t^2)

\int_{- 7}^{7} \frac{t ^{3}}{11 + 8 t ^{2}} d t

0

Solution steps

\int_{- 7}^{7} \frac{t ^{3}}{11 + 8 t ^{2}} 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

\frac{t ^{3}}{11 + 8 t ^{2}} :

Odd

= 0

What is the integral from-7 to 7 of (t^3)/(11+8t^2) ?
The integral from-7 to 7 of (t^3)/(11+8t^2) is 0