What is the integral from-2 to 2 of t^3(2+t^4)^3 ?

The integral from-2 to 2 of t^3(2+t^4)^3 is 0

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integral from-2 to 2 of t^3(2+t^4)^3

\int_{- 2}^{2} t^{3} (2 + t^{4})^{3} d t

0

Solution steps

\int_{- 2}^{2} t^{3} (2 + t^{4})^{3} 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^{3} (2 + t^{4})^{3} :

Odd

= 0

\int_{1}^{2} (4 x^{3} + 7) d x

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\int_{- π}^{π} cos (a x) d x

\int_{1}^{π} sin (x) d x

\int_{0}^{5} sin (x) d x

What is the integral from-2 to 2 of t^3(2+t^4)^3 ?
The integral from-2 to 2 of t^3(2+t^4)^3 is 0