Home
Class 12
MATHS
Find the integralint(2-3sinx)/(cos^2x)dx...

Find the integral`int(2-3sinx)/(cos^2x)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 the step-by-step solution: ### Step 1: Split the Integral We can split the integral into two separate integrals: \[ \int \frac{2 - 3\sin x}{\cos^2 x} \, dx = \int \frac{2}{\cos^2 x} \, dx - \int \frac{3\sin x}{\cos^2 x} \, dx \] ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.8|6 Videos
  • INTEGRALS

    NCERT|Exercise EXERCISE 7.2|39 Videos
  • INTEGRALS

    NCERT|Exercise SOLVED EXAMPLES|46 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.1|12 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise MISCELLANEOUS EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

int(sinx)/(1+cos^2x)dx=

int(sinx)/(cos^(2)x)dx=

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

int {(2-3 sinx)/(cos^(2)x) } dx

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

Find the integral int(2x-3cos x+e^(x))dx

int sinx/(1-cos^2x)dx

Integrate : int (1-sinx)/(cos^2x)dx.

int (2 - sinx)/(2 cos x ) dx

int(sinx)/(sqrt(cos2x))dx=