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

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

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integral from 0 to x of e^x

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

e^{x} - 1

Solution steps

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

Use the common integral:

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

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

Compute the boundaries:

e^{x} - 1

= e^{x} - 1

\int_{0}^{1} (e^{x} - e^{- x}) d x

\int_{0}^{x} cos (x) d x

\int_{1}^{5} (x^{3} + \frac{1}{x ^{3}}) d x

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

\int_{0}^{π} (sin (x) - cos (x)) d x

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