Question

Find the area between tan 9x and 2 sin9x

Answer 1

Do you know how to integrate tan(x)?

Answer 2

Integrating tan(x) is very similar to integration tan(9x)

First step would be to write in terms of sin and cos

Answer 3

Tell me if you see anything when doing that?

Answer 4

for some reason I thought I seen the question: integrate tan(9x)

Answer 5

Though you will have to know how to do that for this problem

Answer 6

To find the area though between those two curves
we need to first find the intersections with in the given interval in which to find them

is there a interval of x that we are looking at?

Answer 7

Between -0.1 and 0.1

Answer 8

so you need to find when tan(9x)=2 sin(9x) between -.1 and .1
do you know how to solve that equation?

Answer 9

hint: write tan in terms of sin and cos