Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

The area bounded by the curve $y=3cos x$ and x-axis between $x=0$ and $x=2 \pi $ is :

Options:

4

8

0

12

Correct Answer:

12

Explanation:

The correct answer is Option (4) → 12

$y=3\cos x$

and,

as, $\int\limits_0^{\pi}|\cos x|dx=2$

$⇒\int\limits_0^{2\pi}|\cos x|dx=4$

$∴Area=3\int\limits_0^{2\pi}|\cos x|dx=3×4=12$