Calculus Examples

$\int_{- 1}^{1} e^{x^{2}} d x$

Step 1

$\int_{- 1}^{1} e^{x^{2}} d x$ is a special integral. The integral is the imaginary error function.

$erfi (x)]_{- 1}^{1}$

Step 2

Substitute and simplify.

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Step 2.1

Evaluate $erfi (x)$ at $1$ and at $- 1$ .

$(erfi (x)) - erfi (x)$

Step 2.2

Subtract $erfi (x)$ from $erfi (x)$ .

$0$

Step 3