Evaluate int tan^(-1)x dx....

Evaluate `int tan^(-1)x dx`.

Text Solution

Verified by Experts

The correct Answer is:

`x tan^(-1)x-1/2log|1+x^(2)|+c`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

ANNUAL EXAM QUESTION PAPER MARCH -2014
SUNSTAR PUBLICATION|Exercise PART -D|10 Videos
ANNUAL EXAM QUESTION PAPER MARCH -2014
SUNSTAR PUBLICATION|Exercise PART-E|4 Videos
ANNUAL EXAM QUESTION PAPER MARCH -2014
SUNSTAR PUBLICATION|Exercise PART-B|14 Videos
ANNUAL EXAM QUESTION PAPER MARCH - 2016
SUNSTAR PUBLICATION|Exercise PART - E (Answer any one questions)|8 Videos
II PUC MATHEMATICS ( SUPPLEMENTARY EXAM QUESTION PAPER JUNE -2019)
SUNSTAR PUBLICATION|Exercise PART-E|3 Videos

SUNSTAR PUBLICATION-ANNUAL EXAM QUESTION PAPER MARCH -2014-PART-C

If f: R to R and g: R to R are given by f(x)= cosx and g(x) =3x^(2).Sh...
Text Solution
|
Prove that 3cos^(-1)x=cos^(-1)(4x^(3)-3x)" "x in [1/2,1]
Text Solution
|
Using elementary transformations, find the inverse of the matrices ...
Text Solution
|
The normal to the curve : x=a(cos theta+theta sin theta), y = a (sin...
Text Solution
|
Verify Rolle's theorem for the function y= x^(2)+2 x in [-2, 2].
Text Solution
|
Find the interval in which the function f given by f(x)=x^(2)-4x+6 is ...
Text Solution
|
Find int((x^(2)+1)e^(x))/((x+1)^(2))dx.
Text Solution
|
Evaluate int tan^(-1)x dx.
Text Solution
|
Find the area of the region bounded by the curve y=x^(2) and line y=4
Text Solution
|
Form the differential equation of family of curves y=mx where m is arb...
Text Solution
|
Prove that [veca+vecb vecb+vecc vecc+veca]= 2[veca vecb vecc]
Text Solution
|
If veca = hati + 2 hatj + 3 hatk, vecb=- hati + 2 hatj + hatk and vec ...
Text Solution
|
Find the distance of a point (2,5,-3) from the plane . vec(r) (6 hat(i...
Text Solution
|
A die is tossed thrice. Find the probability of getting an odd number ...
Text Solution
|