0

Guest

Courses New

if integration of (a/(b+ce^x)) is = -k(ln(mod(b+ce^x)-x)+d then what is the k value?

if integration of (a/(b+ce^x)) is = -k(ln(mod(b+ce^x)-x)+d then what is the k value?

Grade:12th pass

1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
8 years ago
integral a/(b+ce^x) dx
put b+ce^x=t
on diff.w.r.t. x, we get
ce^x dx=dt
integral adt/ce^x.t
=integral a dt/t(t-b)
=a/bintegral[1/(t-b)-1/t]dt
=a/b[log(mod(t-b))-log(mod(t))]+d
=a/b[log(mod(ce^x))-log(mod(b+ce^x))]+d
=a/b[cx-log(mod(b+ce^x))]+d
=-a/b[log(mod(b+ce^x))-cx]+d
comparing the result to the right hand side of the question , it is clear that K=a/b Ans.

Thanks & Regards
Rinkoo Gupta
AskIITians Faculty

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Integral Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More