What is the integral from 0 to 2 of e^x ?

The integral from 0 to 2 of e^x is e^2-1

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integral from 0 to 2 of e^x

\int_{0}^{2} e^{x} d x

e^{2} - 1

Decimal Notation

6.38905 \dots

Solution steps

\int_{0}^{2} e^{x} d x

Use the common integral:

\int e^{x} d x = e^{x}

= [e^{x}]_{0}^{2}

Compute the boundaries:

e^{2} - 1

= e^{2} - 1

x \to 0 lim (\frac{3}{x ^{2} + x} - \frac{3}{x})

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

\frac{d x}{d t} = 12 - \frac{27 x}{900 - 15 t}

\int \frac{sin ( x )}{1 + sin ^{2} ( x )} d x

\int sec^{2} (4 x) tan^{5} (4 x) d x

What is the integral from 0 to 2 of e^x ?
The integral from 0 to 2 of e^x is e^2-1