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

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

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integral from 0 to x^2 of e^t

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

e^{x^{2}} - 1

Solution steps

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

Use the common integral:

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

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

Compute the boundaries:

e^{x^{2}} - 1

= e^{x^{2}} - 1

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