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

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

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

\int_{- 1}^{1} x x^{2} + 1 d x

0

Solution steps

\int_{- 1}^{1} x 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 x^{2} + 1 :

Odd

= 0

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\int_{- 1}^{1} (x + 1)^{5} d x

\int_{1}^{10} \frac{x}{x ^{2} + 4} d x

\int_{3}^{7} x 3 x + 1 d x

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