IIT JEE , AIEEE Forum - Mathematics , Integral Calculus - Indefinite integration -------

sid.shah.90

_{Evaluate----------}

nishant_jain

_{[ ]}

^{[ ]} dx/^{[ 4]}

((x-1)³(x+2)⁵)

=

_{[ ]}

^{[ ]} dx/(x-1)^3/4(x+2)^5/4

_{[ ]}

^{[ ]} dx/(x-1)²((x+2)/(x-1))^5/4

Now take x+2/x-1 = t

And solve further...Got it??

sid.shah.90

Thanks nishant, I have the same method in my book...

Any other methods are gladly welcome

Is there any general method for such problems??

The question is still open