int frac{1}{sin x cdot cos^2 x} , dx = | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) $I = \int \frac{1}{\sin x \cdot \cos^2 x} \, dx$ $I = \int \frac{\sin^2 x + \cos^2 x}{\sin x \cdot \cos^2 x} \, dx$ $I = \int \frac{\sin^2 x}{\sin

Vedclass · Accepted Answer

$\sec x + \log |\operatorname{cosec} x - \cot x| + c$

Vedclass · Answer

(D) $I = \int \frac{1}{\sin x \cdot \cos^2 x} \, dx$ $I = \int \frac{\sin^2 x + \cos^2 x}{\sin x \cdot \cos^2 x} \, dx$ $I = \int \frac{\sin^2 x}{\sin x \cdot \cos^2 x} \, dx + \int \frac{\cos^2 x}{\sin x \cdot \cos^2 x} \, dx$ $I = \int \frac{\sin x}{\cos^2 x} \, dx + \int \frac{1}{\sin x} \, dx$ $I = \int 	an x \sec x \, dx + \int \operatorname{cosec} x \, dx$ $I = \sec x + \ln |\operatorname{cosec} x - \cot x| + c$

$\int \frac{1}{\sin x \cdot \cos^2 x} \, dx = $

Similar Questions

Integrate the function: $\frac{1}{\sqrt{7-6x-x^{2}}}$

$\int \frac{d x}{x^2+2 x+5} = $ . . . . . . $+ C$.

Find the following integral: $\int \frac{x^{3}-1}{x^{2}} dx$

Find the following integral: $\int(2x - 3 \cos x + e^x) \, dx$

$\int \frac{\text{cosec}\theta - \cot\theta}{\text{cosec}\theta + \cot\theta} \, d\theta = $

Vedclass Test Series

Exam Paper Generator

Online Exam Module