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

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

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

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

0

Solution steps

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

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

[- a, a]

then

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

Parity of

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

Odd

= 0

\int_{0}^{1} \frac{x ^{2}}{x} d x

\int_{0}^{5} t e^{- 0.5 t} d t

\int_{2}^{5} (x^{2} - 4) d x

\int_{1}^{\infty} x^{- 5} d x

\int_{3}^{4} \frac{x}{( x ^{2} + 5 ) ^{3}} d x

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