Solution
= Solution
Since $d(\sin^2x)/dx=2\sin x\cos x=\sin2x$, <integration by substitution> $u=\sin^2x$ immediately gives
$$
\boxed{\int(\sin2x)e^{\sin^2x}\,dx=e^{\sin^2x}+C.}
$$
Here $C$ is an arbitrary <constant of integration>.
= Solution
Since $d(\sin^2x)/dx=2\sin x\cos x=\sin2x$, <integration by substitution> $u=\sin^2x$ immediately gives
$$
\boxed{\int(\sin2x)e^{\sin^2x}\,dx=e^{\sin^2x}+C.}
$$
Here $C$ is an arbitrary <constant of integration>.