Question

Integrate:

Answer 1

\[\int\limits \sqrt{1+\cos^2x}*\sin(2x)*dx\]
????

Answer 2

sin2x=2sinx*cosx
it is standard formula

Answer 3

yes i did it

Answer 4

put
\[1+\cos^2x=t^2\]

Answer 5

try it now and tell what u got after differentiation

Answer 6

okay

Answer 7

differentiate it

Answer 8

i got
2tdt =-2cosxsinx

Answer 9

2t*dt=-2cosx*sinx*dx

Answer 10

plug it in integration

Answer 11

okay let me do it

Answer 12

sure... i will wait :)

Answer 13

i got
-2/3(1+cos^2x)^3/2 +c

Answer 14

\[-\frac{ 2 }{ 3}(1+\cos^2x)^{\frac{ 3 }{ 2 }}+c\]
yes you got it right :)