Question

whats the integral of cosx?

Answer 1

\[\int\limits_{?}^{?} cosx dx\]

Answer 2

-sin(x) + C
If you ever don't know the antiderivative of a trigonometric function, you can always think of it like "What function is -cos(x) the derivative of?" I know that the derivative of sin(x) is cos(x), so the antiderivative is just the opposite.

Answer 3

what happens to the cosx?

Answer 4

u= cosx and dx=-du/sinx

Answer 5

\[\int\limits_{?}^{?} u (-du/sinx)\]

Answer 6

is that right?

Answer 7

batman?

Answer 8

@iambatman you there? i just want some proof of how integral of cosx is -sinx+c

Answer 9

We just use \[\frac{ d }{ dx } cosx = -sinx\]

Answer 10

There's not much to the proof, \[\int\limits sinx dx = -cosx+C\]

Answer 11

so i just put that as my answer and dont show any work

Answer 12

No need to

Answer 13

okay

Answer 14

Recall we are using the fundamental theorem of calculus