Integral of Cot x Proof
We can derive the integral of cot x by using the Substitution Method in integration.
Integral of Cot x by Substitution Method
To prove integral of cot x we will use the integration by substitution method which is described below:
We know that,
cot x = cos x / sin x
Integrating both sides we get,
∫cot x dx = ∫ [cos x / sin x] dx —-(1)
Let t = sin x
Differentiating both sides w.r.t t, we get
dt = cos x dx
Putting the above values in equation (1)
∫cot x dx = ∫ [1 / t] dt
∫cot x dx = ln |t| + C
Putting value of t
∫cot x dx = ln |sin x| + C
The integral of cot x is ln |sin x| + C.
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.
Contact Us