Determine the area enclosed by the curve y = x and the X-axis between x = 0 and x = π .

Correct answer: D. 2 The area enclosed by the curve y = x and the X-axis between x = 0 and x = π is given by the definite integral of x from 0 to π . Area = ∫_ 0 ^ π x \, dx = [- x]_ 0 ^ π = -( π - 0) = -(-1 - 1) = 2

Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Physics and Mathematics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Physics and Mathematics

Determine the area enclosed by the curve y = x and the X-axis...

Determine the area enclosed by the curve

y = \sin x

and the X-axis between

x = 0

and

x = \pi

Options

A $\pi$
B $1$
C $0$
D $2$

Correct answer

D. $2$

Step-by-step solution

The area enclosed by the curve

y = \sin x

and the X-axis between

x = 0

and

x = \pi

is given by the definite integral of

\sin x

from

0

\pi

.

Area

= \int_{0}^{\pi} \sin x \, dx

= [-\cos x]_{0}^{\pi}

= -(\cos \pi - \cos 0)

= -(-1 - 1)

= 2

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