Calculus Examples

$\int_{0}^{1} e^{- x^{2}} d x$

Step 1

$\int_{0}^{1} e^{- x^{2}} d x$ is a special integral. The integral is the error function.

$erf (x)]_{0}^{1}$

Step 2

Substitute and simplify.

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Step 2.1

Evaluate $erf (x)$ at $1$ and at $0$ .

$(erf (x)) - erf (x)$

Step 2.2

Subtract $erf (x)$ from $erf (x)$ .

$0$

Step 3