Question

The integral from 0 to x of sin(t)dt

Answer 1

first find the antiderivative of sin(t).

Answer 2

cos(t)

Answer 3

-cos(t), actually. but that's close.

I wonder why we have an x in the limit though.

Answer 4

OK. So you're looking to evaluate \(-\cos(x) - (-\cos(0))\)

Answer 5

So its -cos(x)+1

Answer 6

Yes.

Answer 7

Thank you!

Answer 8

No problem. :)