Calculus Examples

$\int \frac{1}{\csc (y)} d y$

Step 1

Simplify.

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Step 1.1

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

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

Step 1.2

Multiply by the reciprocal of the fraction to divide by $\frac{1}{\sin (y)}$ .

$\int 1 \sin (y) d y$

Step 1.3

Multiply $\sin (y)$ by $1$ .

$\int \sin (y) d y$

Step 2

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

$- \cos (y) + C$