Question

find the shaded area (integration problem)

Answer 1

Use Reimann's sums. have you learned that?

Answer 2

point R(5, 7.39)

Answer 3

I think some of the question is missing.

Answer 4

and what is the function.

Answer 5

y = (e^0.2x)^2 and RS is tangent line of that curve

Answer 6

at a point (5, 7.39) finishing your phrase

Answer 7

Yes?

Answer 8

yes

Answer 9

Why not set up a double integral? Then change variables if necessary.

Answer 10

^ if only to avoid setting up more than one integral.

Answer 11

so the area would be given by
\[\large A=\int_0^{-b/m}\int_0^{e^{0.4x}}dy\,dx+\int_{-b/m}^5\int_{mx+b}^{e^{0.4x}} dy\,dx\]
where \(y=mx+b\) is the tangent line.