Area of the region bounded by the curve y = x and x-axis between x = 0 and x = is : Option 1: 2 sq units Option 2: 3 sq units Option 3: 4 sq units Option 4: 1 sq unit

Answer: 2 sq units. Solution: Area = _0^, x, dx = _0^(/2) x dx - _(/2)^ x dx = 1 + 1 = 2 sq. units.

Calculus

Application of Integrals

Easy

core

Area of the region bounded by the curve $y = \cos x$ and x-axis between $x = 0$ and $x = \pi$ is :

2 sq units

3 sq units

4 sq units

1 sq unit

✅ Correct Option: 1

Area $= \int_0^\pi |\cos x|\,dx = \int_0^{\pi/2} \cos x\,dx - \int_{\pi/2}^\pi \cos x\,dx = 1 + 1 = 2$ sq. units.

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