Find the area under the curve y = x in the interval 0 ≤ x ≤ π/2 . - Mathematics MCQ Mathematics Mock Test - 2 2026 | ExamTest.live

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Find the area under the curve y = cos x in the interval 0 \leq x \leq π /2 .

Solution & Step-by-step Explanation

The area A under a curve y = f (x) from x = a to x = b is given by: A = \int_{a}^{b} f (x) d x For y = cos x from x = 0 to x = π /2 : A = \int_{0}^{π /2} cos x d x A = [sin x]_{0}^{π /2} A = sin (π /2) - sin (0) A = 1 - 0 = 1

Try it yourself before checking the explanation above.

Find the area under the curve y = cos x in the interval 0 \leq x \leq π /2 .

0.5

1

0.7

1.2

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