CalcRef

Integrals · Basic Antiderivatives

Integral of csc²(x)

∫csc⁡2x dx=−cot⁡x+C\int \csc^2 x \, dx = -\cot x + C

The antiderivative of cosecant squared is negative cotangent.

Worked examples

Find ∫ csc²(3x) dx.
  1. Let u = 3x, du = 3dx. (1/3)∫ csc²u du = -(1/3)cot u + C

Answer: -(1/3)cot(3x) + C

Practice this and 135 more formulas in the CalcRef workspace — quizzes, reference tables, a 16-category unit converter, and an expression evaluator.