Home
Class 12
MATHS
Evaluate: int(sqrt(tanx))/(sinxcosx)dx...

Evaluate: `int(sqrt(tanx))/(sinxcosx)dx`

Text Solution

Verified by Experts

`int(sqrt(tanx))/(sinx cosx)dx=int(sqrt(tanx)(1)/("cos"^(2)x))/((sinx cosx)/("cos"^(2)x))dx`
`=int(sqrt(tanx)sec^(2)x)/(tanx)dx=int(tan x)^(-1//2)sec^(2)x dx`
`=((tan x)^(1//2))/(1//2)+C=2 sqrt(tanx)+C`
Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE PUBLICATION|Exercise Jee Advanced (Single|1 Videos
  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

Similar Questions

Explore conceptually related problems

Evaluate : int(sqrt(tanx))/(sin x cos x)dx

Evaluate: int(sqrt(x)dx)/(1+x)

Evaluate: int(sqrt(tanx)-sqrt(cotx))dx

Evaluate: int (sqrt(tanx)+sqrtcotx)dx

Find int(2sqrt(tanx))/(sin2x)dx .

Evaluate: int sqrt(cos2x)/(sinx)dx

Evaluate: int1/(1-tanx)dx

Evaluate int(dx)/(x+sqrt(x))

Integrate the functions (sqrt(tanx))/(sinxcosx)

Evaluate: int (dx)/(1+tanx)