Practice Questions on Integral of Cot x

Q1. Solve ∫cot x. cos x dx.

Q2. Evaluate the integral ∫ [cot x / √ (6 + 16cot2x)] dx.

Q3. Find ∫ cot (4x) dx.

Q4. Evaluate ∫ (1 + cot x) / (1 – cot x) dx

Integral of Cot x

Integral of Cot x is ln |sin x| + C. Cot x is among one of the trigonometric functions that is the ratio of cosine and sine. The integral of cot x is mathematically represented as ∫cot x dx = ln |sinx| + C.

In this article, we will explore the integral of cot x, the integral of cot x formula, the derivation of the integral of cot x, definite integral of cot x along with some examples based on the integral of cot x.

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What is Integral of Cot x?

The integral of cot x is ln |sin x| + C. It is mathematically denoted as ∫cot x dx = ln |sin x| + C. The integral of cot x means finding the antiderivative of the cot x. The process of finding the anti-derivative of a function is called the integration. The result of the integration is called as integral. Hence, the antiderivative of the cot x is ln |sin x| + C....

Integral of Cot x Proof

We can derive the integral of cot x by using the Substitution Method in integration....

Definite Integral of Cot x dx

Integral of cot x with the upper and lower limit is called as the definite integral of cot x. In this we apply the limits and evaluate the resultant value for the integral. The value of definite integral of cot x is given below:...

Solved Examples on Integral of Cot x

Example 1: Find ∫cot 6x dx...

Practice Questions on Integral of Cot x

Q1. Solve ∫cot x. cos x dx....

Integral of Cot x – FAQs

What is the antiderivative of cot x?...

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