What is the integral from-1 to 1 of x^3sin(x^2+1) ?

The integral from-1 to 1 of x^3sin(x^2+1) is 0

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integral from-1 to 1 of x^3sin(x^2+1)

\int_{- 1}^{1} x^{3} sin (x^{2} + 1) d x

0

Solution steps

\int_{- 1}^{1} x^{3} sin (x^{2} + 1) 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

x^{3} sin (x^{2} + 1) :

Odd

= 0

\int_{- 2 π}^{- π} sin (x) d x

\int_{0}^{2} (2 x - cos (4 x)) d x

\int_{1}^{3} 27 - x^{3} d x

\int_{0}^{1} 4 x y x^{2} + y^{2} d y

\int_{- 3}^{- 1} y^{3} 49 y^{2} - 4 d y

What is the integral from-1 to 1 of x^3sin(x^2+1) ?
The integral from-1 to 1 of x^3sin(x^2+1) is 0