Find integral. ∫4csc2xdx

Question

Find integral.  ∫4csc2xdx

Serita Dewitt · Accepted Answer

Step 1
In calculus, an integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals, together with derivatives, are the fundamental objects of calculus. Other words for integral include antiderivative and primitive. The process of computing an integral is called integration and the approximate computation of an integral is termed numerical integration.
Step 2
Since the integral of the term

\int \csc^{2} (x) d x = - \cot (x)

, now use this in the given integral and obtain the result, where C is some constant

\int 4 \csc^{2} (x) d x = 4 \int \csc^{2} (x) d x

= - 4 \cot (x) + C

= - \frac{4}{\tan (x)} + C

Gerald Lopez · Accepted Answer

∫4csc⁡(x)2dx  Use the properties of integrals  4×∫csc⁡(x)2dx  Evaluate the integral  4×(−cot⁡(x))  Simplify  −4cot⁡(x)  Add C∈R  Solution:  −4cot⁡(x)+C

Find integral. \int 4\csc^{2}xdx

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