${e^x}\left( {\sin x + \cos x} \right)$
${e^x}\left( {\sin x + \cos x} \right)$
Official Solution
VVidaara Team
✓ Verified solution
NCERT & Exemplar
Let $I = \int {{e^x}\left( {\sin x + \cos x} \right)dx}$
Put ${e^x}\sin x = t$ $\Rightarrow$ $\left( {{e^x}\cos x + \sin x{e^x}} \right)dx = dt$
$\Rightarrow$ ${e^x}\left( {\sin x + \cos x} \right)dx = dt$
$\therefore$ $I = \int {dt} = t + C = {e^x}\sin x + C$
Community Answers (0)
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.