# Math Help - antiderivative

1. ## antiderivative

HI I think I am getting more lost as the day progresses.

Basically I have the definite integral sign (sin t^1/2)/(t^1/2)

so I know the antiderivative of sin t^1/2 = -cos t^1/2 + C but I don't know if I need to do something with the ^1/2 on the numerator and I don't know what to do with the denominator

Any direction would be greatly appreciated.

This calculus beginner

2. Originally Posted by calcbeg
HI I think I am getting more lost as the day progresses.

Basically I have the definite integral sign (sin t^1/2)/(t^1/2)

so I know the antiderivative of sin t^1/2 = -cos t^1/2 + C

no, it's not

but I don't know if I need to do something with the ^1/2 on the numerator and I don't know what to do with the denominator

Any direction would be greatly appreciated.

This calculus beginner
method of substitution

$u = \sqrt{t}$

$du = \frac{dt}{2\sqrt{t}}$