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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Integral Calculus
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Integrate : $\int \large\frac{7}{5}$$ \log _e(\large e^{x^3}) dx$

$(a)\;x^4+c \\(b)\;\frac{7}{20}x^4+c \\(c)\;\frac{7}{30}x^4 +c \\ (d)\;None$

Can you answer this question?
 
 

1 Answer

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$\int \large\frac{7}{5}$$ \log _e(\large e^{x^3})$$ dx$
By log property
$\log_ e e =1$
=> $\large\frac{7}{5}$$ \log _e e dx$
=> $\large\frac{7}{5}. \frac {x^4}{4} $$+c$
=>$\large\frac{7}{20}$$x^4+c$
Hence b is the correct answer.

 

answered Jan 2, 2014 by meena.p
 
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