What is the integral of 1/(csc(x)) ?

The integral of 1/(csc(x)) is -cos(x)+C

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integral of 1/(csc(x))

\int \frac{1}{csc ( x )} d x

- cos (x) + C

Solution steps

\int \frac{1}{csc ( x )} d x

Rewrite using trig identities

= \int sin (x) d x

Use the common integral:

\int sin (x) d x = - cos (x)

= - cos (x)

Add a constant to the solution

= - cos (x) + C

\int_{0}^{2} π (e^{x})^{2} d x

y = x - cos^{2} (x)

y = \frac{15}{x ^{3} + 2 x}, 1, 2

\frac{\partial}{\partial x} (\frac{x}{x + \frac{y}{x}})

lo g_{10} (4) (x - 1)