Search any question & find its solution
Question:
Answered & Verified by Expert
Integrate the function
$\sqrt{1-4 x^2}$
$\sqrt{1-4 x^2}$
Solution:
2038 Upvotes
Verified Answer
$\int \sqrt{1-4 x^2} d x=2 \int \sqrt{\left(\frac{1}{2}\right)^2-x^2} d x$
$=\frac{x \sqrt{1-4 x^2}}{2}+\frac{1}{4} \sin ^{-1}(2 x)+\mathrm{C}$
$=\frac{x \sqrt{1-4 x^2}}{2}+\frac{1}{4} \sin ^{-1}(2 x)+\mathrm{C}$
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.