Home
Class 12
MATHS
Evaluate: int(dx)/((x-4)sqrt(x+5))...

Evaluate: `int(dx)/((x-4)sqrt(x+5))`

Text Solution

Verified by Experts

Let `I=int(dx)/((x-4)sqrt(x+5))` { put `x+5=t^(2) rArr dx=2t dt}`
`therefore I=int(2dt)/(t^(2)-9)= 2/6ln|(t-3)/(t+3)|+C=1/3ln|(sqrt(x+5)-3)/(sqrt(x+5)+3)|+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise EXERCISE -1 SUBJECTIVE QUESTIONS|1 Videos

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SUBJECTIVE QUESTIONS|14 Videos

  • FUNDAMENTAL OF MATHEMATICS

    RESONANCE ENGLISH|Exercise Exercise|135 Videos

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise HLP|34 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int1/((x^2-4)sqrt(x+1))dx

Evaluate: int1/((x^2-4)sqrt(x+1))dx

Evaluate: int1/((x^2-4)sqrt(x+1))dx

Evaluate: int1/((x^2-4)sqrt(x+1))dx

Evaluate int(dx)/(x-sqrt(x^(2)+2x+4)) .

Evaluate : int(dx)/(sqrt(5-4x^(2))

Evaluate : int(dx)/(sqrt(5-4x-2x^2))

Evaluate: int(5x+7)/(sqrt((x-5)(x-4)))\ dx

Evaluate: int(x-5)sqrt(x^2+x dx)

Evaluate: int(2x+3)/(sqrt(x^2+4x+5))\ dx