Question

integrate by parts e^x * sin x

Answer 1

if you sinx up you can subtract it out and divide of a 2

Answer 2

\[\int e^x\ sin(x)dx=e^x\ sin(x)-\int e^xcos(x)dx\]
\[\int e^x\ sin(x)dx=-e^x\ cos(x)-(e^xcos(x)+\int e^xsin(x)dx)\]
\[\int e^x\ sin(x)dx=-e^x\ cos(x)-e^xcos(x)-\int e^xsin(x)dx\]
\[\int e^x\ sin(x)dx+\int e^xsin(x)dx=-e^x\ cos(x)-e^xcos(x)\]
\[2\int e^x\ sin(x)dx=-e^x\ cos(x)-e^xcos(x)\]
\[\int e^x\ sin(x)dx=\frac{1}{2}(-e^x\ cos(x)-e^xcos(x))\]
close, but i messed up the sin cos stuff im sure

Answer 3

\[\int e^x\ sin(x)dx=\frac{1}{2}(-e^x\ sin(x)-e^xcos(x))\]
ill have to chk it with the wolf