INDEFINITE INTEGRATION_ JEE MAIN_2019_10-04-2019-S-1 - Competishun

JEE MAIN_2019

_10-04-2019-S-1

Question

$$ \text { If } \int \frac{d x}{\left(x^2-2 x+10\right)^2}=A\left(\tan ^{-1}\left(\frac{x-1}{3}\right)+\frac{f(x)}{x^2-2 x+10}\right)+C $$ where C is a constant of integration, then :

Select the correct option:

$A=\frac{1}{81}$ and $f(x)=3(x-1)$

$A=\frac{1}{54}$ and $f(x)=3(x-1)$

$A=\frac{1}{27}$ and $f(x)=9(x-1)$

$A=\frac{1}{54}$ and $f(x)=9(x-1)^2$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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