Evaluate the following integrals : int...

Evaluate the following integrals :
`int(cos^(-1)x)/(sqrt(1-x^(2)))dx`.

Text Solution

Verified by Experts

The correct Answer is:

`cos^(-1)x`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

INTEGRATION
ARIHANT PUBLICATION|Exercise PART II (QUESTION FOR PRACTICE) (4 MARK)|20 Videos
INTEGRATION
ARIHANT PUBLICATION|Exercise PART II (QUESTION FOR PRACTICE) (6 MARK)|3 Videos
INTEGRATION
ARIHANT PUBLICATION|Exercise PART I (QUESTIONS FOR PRACTICE) (4 MARK)|7 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 -PART II (QUESTION FOR PRACTICE) (1 MARK)

Evaluate the following integrals : int(ax+b)^(3)dx.
Text Solution
|
Evaluate the following integrals : int(3ax)/(b^(2)+c^(2)x^(2))dx
Text Solution
|
Evaluate the following integrals : int((logx)^(2))/(x)dx.
Text Solution
|
Evaluate the following integrals : int(cos^(-1)x)/(sqrt(1-x^(2)))dx.
Text Solution
|
Evaluate the following integrals : ((1+cosx))/(x+sinx)dx.
Text Solution
|
Evaluate the following integrals : int(sin(2tan^(-1)x))/((1+x^(2)))d...
Text Solution
|
Evaluate the following integrals : int(tan^(-1)x)/(1+x^(2))dx.
Text Solution
|
Evaluate the following integrals : int(cosx+tan^(2)x)/(2cosxtanx)dx.
Text Solution
|
Evaluate the following integrals : int(cotx)/(lnsinx)dx.
Text Solution
|
Evaluate the following integrals : int(secx" cosec x")/(lntanx)dx.
Text Solution
|
Evaluate the following integrals : int(sinx)/(cos^(11)x)dx
Text Solution
|
Evaluate the following integrals : intcos^(3)xe^(log sinx)dx.
Text Solution
|
Evaluate the following integrals : int(cos2x)/((sinx+cosx)^(2))dx.
Text Solution
|
Evaluate the following integrals : int(cos2x+2sin^(2)x)/(cos^(2)x)dx
Text Solution
|
Evaluate the following integrals : intcos^(-1)(sinx)dx.
Text Solution
|
Evaluate the following integrals : int(e^(x))/(sqrt(9-e^(2x)))dx.
Text Solution
|
Evaluate the following integrals : int(dx)/(sqrt(2x-x^(2)))
Text Solution
|