Answer to Question #176660 in Calculus for Joshua

Question

Compute the area bounded by the curve r=sin2(∅) for 0≤∅≤ π/2.

Answer 1

Area bounded by the curve r=sin2(∅) for 0≤∅≤ π/2.

We integrate r=sin2(∅) with limits from 0 to

π/2

$\int_0^{π\over2} r=sin2(∅)$

On solving , and putting limits

$=[{cos(2∅)\over2} ]_0^\pi ​$

$=[-({-1\over2})]-[-({1\over2})]\\$

$=1$ ......answer