Math Problem Solver

Assuming the integrability of the function ( f ), the order of integrations in [ I = \int_{-\pi/2}^{\pi/2} dx \int_{-1}^{\sin x} dy \ f(x, y) ] will be reversed. What is the resulting iterated integral?

Option A {RAW_TEXT}

( \int_{-1}^{1} dy \int_{\arcsin y}^{\pi/2} dx \ f(x, y) )

Option B {RAW_TEXT}

( \int_{-1}^{1} dy \int_{-\pi/2}^{\arcsin y} dx \ f(x, y) )

Option C {RAW_TEXT}

( \int_{0}^{1} dy \int_{\arcsin y}^{\pi/2} dx \ f(x, y) )

Option D {RAW_TEXT}

( \int_{-1}^{1} dy \int_{-\arcsin y}^{\pi/2} dx \ f(x, y) )

choose the correct answer