Cosec(x) derivative and integral | What is the 1/sinx integral and derivative? (cscx)

Hello everyone. In this article, we will tell you the derivative and integral of cosec(x). We wish you good work.

Cosec(x) Derivative and Integral (1/sinx)

We'll take the derivative first. Then we'll take the integral.

cosecx derivative and cosecx integral

Cosec(x) or 1/sinx Derivative:

We can solve our problem by typing 1/sinx instead of cosecx.

👉 $\frac{d}{dx}cosecx=\frac{d}{dx}\frac{1}{sinx}$

Now we will take the quotient derivative.

👉 $\frac{d}{dx}\frac{1}{sinx}=\frac{0.sinx-cosx.1}{sin^2x}=\frac{-cosx}{sin^2x}$

Answer : $\frac{-cosx}{sin^2x}$

Cosec(x) or 1/sinx Integral:

Cosecx's integral solution can take a long time. That's why we will share the direct answer with you.

👉 $\int{cosec(x)}=-ln|cosec(x)+cot(x)|$

Answer : $-ln|cosec(x)+cot(x)|$