What is the integral from 0 to 2 of xsqrt(x^2+5) ?

The integral from 0 to 2 of xsqrt(x^2+5) is 9-(5sqrt(5))/3

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integral from 0 to 2 of xsqrt(x^2+5)

\int_{0}^{2} x x^{2} + 5 d x

9 - \frac{5 5}{3}

Decimal

5.27322 \dots

Solution steps

\int_{0}^{2} x x^{2} + 5 d x

Apply u-substitution

= \int_{5}^{3} u^{2} d u

Apply the Power Rule

= [\frac{u ^{3}}{3}]_{5}^{3}

Compute the boundaries:

9 - \frac{5 5}{3}

= 9 - \frac{5 5}{3}

What is the integral from 0 to 2 of xsqrt(x^2+5) ?
The integral from 0 to 2 of xsqrt(x^2+5) is 9-(5sqrt(5))/3