Calculus Examples

$\int \sin (x) \csc (x) d x$

Step 1

Rewrite in terms of sines and cosines, then cancel the common factors.

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Step 1.1

Reorder $\sin (x)$ and $\csc (x)$ .

$\int \csc (x) \sin (x) d x$

Step 1.2

Rewrite $\sin (x) \csc (x)$ in terms of sines and cosines.

$\int \frac{1}{\sin (x)} \sin (x) d x$

Step 1.3

Cancel the common factors.

$\int d x$

Step 2

Apply the constant rule.

$x + C$