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Solve it ....... ........................................................................... ............................ ............................................. ..............................?

Solve it ....... ........................................................................... ............................ ............................................. ..............................?

Question Image
Grade:12th pass

3 Answers

Chandan
121 Points
3 years ago
take \tan^{-1}(x)=t
therefore 1/(1+x2)dx=dt
dx=(1+x2)dt
now x=tant
1+x2=sec2t
=∫etsec2t dt
now can be done by parts
if even want that please reply me I will answer soon
thankyou
 
amj
41 Points
3 years ago
No antiderivative could be found within the given time limit, or all supported integration methods were tried unsuccessfully. Note that many functions don't have an elementary an
Rohit Sharma
63 Points
3 years ago
Its easy,Put tan-1x = t so,
 
1/1+x2=dt/dx
so,dx = (1+x2)dt = sec2t dt as x = tant
you will get,
Integral of et.sec2t whih you can solve by parts
 

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