logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Integral Calculus
0 votes

Integrate : $\int \large\frac{ax^{a-1}+a^x \log a}{x^a+a^x}$$dx$

$(a)\;x^2 +2x+c \qquad(b)\;x^a+a^x+x \qquad(c)\;\log_e[x^a+a^x]+c \qquad (d)\;\log x +c $
Can you answer this question?
 
 

1 Answer

0 votes
$x^a+a^x=t$
differentiate both side with respect to x
$(ax^{a-1}+a^x \log _e a )dx=dt$
=> $\int \large\frac{dt}{t}$
=> $\log _e^t +c$
=> $\log _e[x^a +a^x]+c$
Hence c is the correct answer.
answered Dec 24, 2013 by meena.p
 
Ask Question
student study plans
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...