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

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

Text Solution

Verified by Experts

The correct Answer is:
`2tan x - 3 sec x + C`
`I = int{(2)/(cos^(2)x) - (3sinx)/(cos^(2)x)} dx = int(2sec^(2)x - 3 secxtanx) dx`.
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    RS AGGARWAL|Exercise Objective Questions|41 Videos

  • INDEFINITE INTEGRAL

    RS AGGARWAL|Exercise Objective Questions|41 Videos

  • HOMOGENEOUS DIFFERENTIAL EQUATION

    RS AGGARWAL|Exercise Exercise 20|30 Videos

  • INTEGRATION USING PARTIAL FRACTIONS

    RS AGGARWAL|Exercise Objective Questions Ii|37 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Evaluate : int ("sinx ")/("cos"^(2) x) " dx "

int(sinx)/(3+4cos^(2)x)dx

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

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

(i) int (tanx + cot x)^(2) dx , (ii) int((1+2 sinx)/(cos^(2)x))dx , (iii) int ((3cosx+4)/(sin^(2)x))dx

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

int(sinx dx)/((3+cos^(2)x))=