We can help you solve it. Please follow the forum's guidelines and share how far you got. Do you have any specific questions?Can you plz solve this?
This is a kind of problem that requires thought, not routine methods. So it is intended to get you thinking.
Correction:Look at the picture. You are asked to find the blue area.
View attachment 33546
blue area = rectangle area - green area
\(\displaystyle \int_{2\pi - 1}^{2\pi} f^{-1}(u) \ du = \ \)blue area \(\displaystyle \ = 2\pi - \int_{a}^{b} f(u) \ du\)
\(\displaystyle a\) and \(\displaystyle b\) are the \(\displaystyle u\) values when \(\displaystyle f(u)\) intersects the rectangle.
Your thinking (after correction) agrees with mine. The trouble is, how do you find the value of your "a"? Are they expecting an exact value, or not?Look at the picture. You are asked to find the blue area.
View attachment 33546
blue area = rectangle area - green area
\(\displaystyle \int_{2\pi - 1}^{2\pi} f^{-1}(u) \ du = \ \)blue area \(\displaystyle \ = 2\pi - \int_{a}^{b} f(u) \ du\)
\(\displaystyle a\) and \(\displaystyle b\) are the \(\displaystyle u\) values when \(\displaystyle f(u)\) intersects the rectangle.
Logically, a good approximation will be enough! If they expect an exact value, is it even possible to do that?Your thinking (after correction) agrees with mine. The trouble is, how do you find the value of your "a"? Are they expecting an exact value, or not?