Evaluate intf'(ax+b)[f(ax+b)]^(n)dx....

Evaluate `intf'(ax+b)[f(ax+b)]^(n)dx`.

Text Solution

Verified by Experts

The correct Answer is:

`([f(ax+b)]^(n+a))/(a(n+a))+C`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

INTEGRATION
ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (4 MARK)|42 Videos
INTEGRATION
ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (6 MARK)|4 Videos
INTEGRATION
ARIHANT PUBLICATION|Exercise PART V (QUESTIONS FOR PRACTICE) (6 MARK)|8 Videos
DIFFERENTIAL EQUATION
ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANSWER TYPE QUESTIONS)|21 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |35 Videos

ARIHANT PUBLICATION-INTEGRATION -CHAPTER PRACTICE (1 MARK)

Evaluate int(sec^(2)(logx))/(x)dx.
Text Solution
|
Evaluate int(sec^(2)x)/(3+tanx)dx.
Text Solution
|
Evaluate intsqrt(tanx)(1+tan^(2)x)dx.
Text Solution
|
Evaluate intf'(ax+b)[f(ax+b)]^(n)dx.
Text Solution
|
Evaluate int(cos sqrt(x))/(sqrt(x))dx.
Text Solution
|
Evaluate int(e^(2x)-e^(-2x))/(e^(2x)+e^(-2x))dx.
Text Solution
|
Evaluate inte^(3logx)(x^(4)+1)^(-1)dx.
Text Solution
|
Evaluate int(sin^(6)x)/(cos^(8)x)dx.
Text Solution
|
Evaluate intsqrt(1+sinx)dx.
Text Solution
|
Evaluate int(sec^(2)x)/("cosec"^(2)x)dx.
Text Solution
|
Evaluate int(2)/(1+cos2x)dx.
Text Solution
|
Evaluate int(secx+"cosec x")dx.
Text Solution
|
Evaluate int(dx)/(x^(2)+16).
Text Solution
|
Evaluate int(x^(3)+x+1)/(x^(2)+1)dx.
Text Solution
|
Evaluate int("cosec"^(2)x-cotx)e^(x)dx.
Text Solution
|
Evaluate int(1)^(sqrt(3))(dx)/(1+x^(2))
Text Solution
|
Evaluate int(0)^(1)(dx)/(4-x^(2))
Text Solution
|
Evaluate int(0)^(pi//2)sqrt(1+cos2x)dx.
Text Solution
|
Evaluate int(0)^(2)sqrt(4-x^(2))dx.
Text Solution
|
Evaluate int(-1)^(1)sin^(5)xcos^(4)xdx.
Text Solution
|