Thread: integrals, sin function and a denominator

HI

Okay the goal is to evaluate this integral

integral sign (I will use S) (sin t^(1/2))/(t^1/2)

so if I let u = t^1/2 and du = dt/2(t^1/2)

S sin u / u du dt/du = I don't know what.

If it was just sin u I would know that it = - cos u + C but I don't know what to do with the denominator.

Please help me.

Calculus beginner

Originally Posted by calcbeg

HI

Okay the goal is to evaluate this integral

integral sign (I will use S) (sin t^(1/2))/(t^1/2)

so if I let u = t^1/2 and du = dt/2(t^1/2)

S sin u / u du dt/du = I don't know what.

If it was just sin u I would know that it = - cos u + C but I don't know what to do with the denominator.

Please help me.

Calculus beginner

You made a good choice for but didn't sub it in correctly.

and

Now the integral is