Answer
$\int sinudu$
$u=t^2$
Work Step by Step
Try it:
$u=t^2$
$du=2tdt$
$\int sinudu=-cosu+C$
$\frac1 2 \int sin(t^2)2tdt$
$\frac1 2 \int sinudu$
$\frac 1 2 (-cosu+C)$
$\frac 1 2 (-cos(t^2)+C)$
$\frac 1 2 -cos(t^2)+C$
$\int sinudu$
$u=t^2$