Calculus Examples

$\int_{0}^{3.14} \sin (x) d x$

Step 1

The integral of $\sin (x)$ with respect to $x$ is $- \cos (x)$ .

$- \cos (x)]_{0}^{3.14}$

Step 2

Simplify the answer.

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Step 2.1

Evaluate $- \cos (x)$ at $3.14$ and at $0$ .

$- \cos (3.14) + \cos (0)$

Step 2.2

The exact value of $\cos (0)$ is $1$ .

$- \cos (3.14) + 1$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \cos (3.14) + 1$

Decimal Form:

$1.99999873 \dots$