Falling Behind in Studies? Join Our Performance Improvement Batch. Enroll For Free
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
if integration of (a/(b+ce^x)) is = -k(ln(mod(b+ce^x)-x)+d then what is the k value?
integral a/(b+ce^x) dxput b+ce^x=ton diff.w.r.t. x, we getce^x dx=dtintegral 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]+dcomparing the result to the right hand side of the question , it is clear that K=a/b Ans.Thanks & RegardsRinkoo GuptaAskIITians Faculty
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -