Home
Class 12
MATHS
int (2-3 sin x)/(cos^(2) x) dx...

`int (2-3 sin x)/(cos^(2) x) dx`

Text Solution

AI Generated Solution

To solve the integral \(\int \frac{2 - 3 \sin x}{\cos^2 x} \, dx\), we can break it down into simpler parts. Here’s a step-by-step solution: ### Step 1: Split the Integral We can separate the integral into two parts: \[ \int \frac{2 - 3 \sin x}{\cos^2 x} \, dx = \int \frac{2}{\cos^2 x} \, dx - \int \frac{3 \sin x}{\cos^2 x} \, dx \] ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.2|39 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.3|24 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7s|19 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|18 Videos

  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise (prove That )|9 Videos

Similar Questions

Explore conceptually related problems

int (3-4 sin x)/(cos^(2) x) dx=?

int(sin 2x)/(5-cos^(2) x)dx

int(2-3 cos x)/(sin^(2) x)dx

int(sin x)/(3+4 cos^(2)x)dx = …………………

Evaluate : int ( " 4+3 sin x ")/(" cos"^(2) x) " dx "

int(sin2x)/(a^(2)-cos^(2)x)dx

int(sin2x)/(cos x)*dx

int sin2x*e^(cos^(2)x)dx

int(sin2x)/(cos2x)dx

int(1+sin2x)/(cos^2x)dx