Home
Class 12
MATHS
Evaluate: int(2tanx-3cotx)^2\ dx...

Evaluate: `int(2tanx-3cotx)^2\ dx`

Text Solution

AI Generated Solution

To evaluate the integral \( \int (2 \tan x - 3 \cot x)^2 \, dx \), we can follow these steps: ### Step 1: Expand the Integrand Using the identity \( (a - b)^2 = a^2 - 2ab + b^2 \), we expand the integrand: \[ (2 \tan x - 3 \cot x)^2 = (2 \tan x)^2 - 2(2 \tan x)(3 \cot x) + (3 \cot x)^2 \] This simplifies to: ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos
  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

(tanx-cotx)^(2)

int(tanx+cotx)^2dx

Knowledge Check

  • int(tanx-cotx)^(2)dx=

    A
    `tanx+cotx+c`
    B
    `tanx-cotx+c`
    C
    `-tanx-cotx+c`
    D
    `-tanx+cotx+c`
  • Similar Questions

    Explore conceptually related problems

    Evaluate: int1/(1-cotx)\ dx

    Evaluate the following integrals: int(2tanx-3cotx)^(2)dx

    2tanx-cotx+1=0

    Evaluate: inte^x(cotx-cosec^2x)dx

    Evaluate: int1/(1+cotx)\ dx

    Evaluate: int(sqrt(tanx))dx

    Evaluate: int(1-cotx)/(1+cotx)dx