Calculus Examples

$\int_{0}^{1} \cos (x^{2}) d x$

Step 1

$\int_{0}^{1} \cos (x^{2}) d x$ is a special integral. The integral is the Fresnel integral function.

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

Step 2

Substitute and simplify.

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Step 2.1

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

$(C (x)) - C (x)$

Step 2.2

Subtract $C (x)$ from $C (x)$ .

$0$