on expanding terms under square root
u end up with
\sqrt{cos^2x + cos ^2 2x + cos ^2 3x + 2cosx cos2x + 2cos2x cos3x + 2cosx cos3x + sin^2x + sin^2 2x + sin^2 3x + 2sinxsin2x + 2sin2x sin3x + 2sinx sin3x}
1. \int \frac{x^2}{\sqrt{1- x^2}}
2. \int \frac{x^3}{\sqrt{1- x^2}}
3 . \int \frac{dx}{( x^2 + 1 ) ^2 } = \frac{A}{148}\tan^{-1} x +\frac{x}{2(x^2 + 1)}
find value of A
4 .\int \frac{(1+ logx )dx}{\sqrt{x^{2x}-1}}
for practice
on expanding terms under square root
u end up with
\sqrt{cos^2x + cos ^2 2x + cos ^2 3x + 2cosx cos2x + 2cos2x cos3x + 2cosx cos3x + sin^2x + sin^2 2x + sin^2 3x + 2sinxsin2x + 2sin2x sin3x + 2sinx sin3x}
Hahaha QWERTY
did u do that on ur own....?
i know from wer u copied that stuff
For the 1st one, the simplest soln is to subtract and add 1 to the numerator.