Integral Calculus Question 312
Question: $ \int_{{}}^{{}}{e^{x}\sin (e^{x})}\ dx= $
[MP PET 1995]
Options:
A) $ -\cos e^{x}+c $
B) $ \cos e^{x}+c $
C) $ -cosec,e^{x}+c $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ \int_{{}}^{{}}{e^{x}\sin (e^{x}),dx} $ Put $ e^{x}=t $ and $ e^{x}dx=dt, $ the integral reduces to $ \int_{{}}^{{}}{\sin t,dt}=-\cos t+c=-\cos (e^{x})+c. $
BETA
