Question

Converting to a double integral
Evaluate the integral... see attachment

Answer 1

hint: write the integrand as an integral

Answer 2

where do I even begin? @wio

Answer 3

Hmmm, not completely sure actually.

Answer 4

I wasn't even taught how to do it but I have to do it for hw wt hexagon

Answer 5

However: \[
f(x) = \int^x_{f^{-1}(0)} f'(t)dt
\]

Answer 6

??????????

Answer 7

That is how you'd turn a function into an integral.

Answer 8

You take the derivative and put it inside an integral.

Answer 9

so take the derivative of tan^-1pix - tan^-1x?

Answer 10

Yeah.

Answer 11

You also need to find the roots.

Answer 12

any root will do.

Answer 13

how do I find the roots???

so take the derivative and plug it into the integral and then find the roots?

Answer 14

Well you only need to find one.

Answer 15

Actually you don't necessarily have to find the roots.

Answer 16

\[
f(x) = \int^x_{f^{-1}(0)} f'(t)dt = \int^x_{0} f'(t)dt+f(0)
\]

Answer 17

Just do that... that will be easier.

Answer 18

Did you find \(f'(t)\) and \(f(0)\)?

Answer 19

sorry maybe after I eat dinner hungry atm

Answer 20

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