Search any question & find its solution
Question:
Answered & Verified by Expert
Integrate the function
$\frac{3 x^2}{x^6+1}$
$\frac{3 x^2}{x^6+1}$
Solution:
2088 Upvotes
Verified Answer
Let $x^3=t \Rightarrow 3 x^2 d x=d t$
$\int \frac{3 x^2}{x^6+1} d x=\int \frac{d t}{t^2+1}=\tan ^{-1} t+\mathrm{C}=\tan ^{-1}\left(x^3\right)+\mathrm{C}$
$\int \frac{3 x^2}{x^6+1} d x=\int \frac{d t}{t^2+1}=\tan ^{-1} t+\mathrm{C}=\tan ^{-1}\left(x^3\right)+\mathrm{C}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.