What is the integral from 0 to 0.6 of e^{5x}+x^2 ?

The integral from 0 to 0.6 of e^{5x}+x^2 is 3.88910…

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integral from 0 to 0.6 of e^{5x}+x^2

\int_{0}^{0.6} e^{5 x} + x^{2} d x

3.88910 \dots

Solution steps

\int_{0}^{0.6} e^{5 x} + x^{2} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{0.6} e^{5 x} d x + \int_{0}^{0.6} x^{2} d x

\int_{0}^{0.6} e^{5 x} d x = \frac{e ^{3} - 1}{5}

\int_{0}^{0.6} x^{2} d x = 0.072

= \frac{e ^{3} - 1}{5} + 0.072

Simplify

= 3.88910 \dots

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What is the integral from 0 to 0.6 of e^{5x}+x^2 ?
The integral from 0 to 0.6 of e^{5x}+x^2 is 3.88910…