📐 Mathematics · Integrals · JEE

The value of the definite integral of sin²x from 0 to π/2 is:

Answer: π/4.

Correct answer: B. π/4

Explanation: ∫ sin²x dx over [0, π/2] = π/4 by symmetry of sin² and cos².

The exact area under the curve from a to b (shaded) is approximated by a few rectangles, the Riemann sum idea behind the definite integral.

Concept context

Indefinite and definite integrals, areas under curves