What is the integral from 2 to 3 of (e^{2x}+e^x) ?

The integral from 2 to 3 of (e^{2x}+e^x) is (e^6-e^4)/2+e^3-e^2

Popular >

integral from 2 to 3 of (e^{2x}+e^x)

\int_{2}^{3} (e^{2 x} + e^{x}) d x

\frac{e ^{6} - e ^{4}}{2} + e^{3} - e^{2}

Decimal

187.11180 \dots

Solution steps

\int_{2}^{3} e^{2 x} + e^{x} 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_{2}^{3} e^{2 x} d x + \int_{2}^{3} e^{x} d x

\int_{2}^{3} e^{2 x} d x = \frac{e ^{6} - e ^{4}}{2}

\int_{2}^{3} e^{x} d x = e^{3} - e^{2}

= \frac{e ^{6} - e ^{4}}{2} + e^{3} - e^{2}

\int_{0}^{π} x cos (\frac{nπ x}{π}) d x

\int_{0}^{3} \frac{1}{x ^{4} + 1} d x

\int_{0}^{\frac{1}{2} π} cos (d) x d x

\int_{- 2}^{4} x + 4 - \frac{x ^{2}}{2} d x

\int_{0}^{6} - 6 x^{2} - 12 x + 288 d x

What is the integral from 2 to 3 of (e^{2x}+e^x) ?
The integral from 2 to 3 of (e^{2x}+e^x) is (e^6-e^4)/2+e^3-e^2