Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

The area of the region bounded by the lines $x = 2y+3, x = 0, y = 1$ and $y = -1$ is:

Options:

4 sq. units

6 sq. units

8 sq. units

$\frac{3}{2}$ sq. units

Correct Answer:

6 sq. units

Explanation:

Integrating along y axis from $y=-1$ to $y=1$

we get,

Area = $\int_{-1}^12y+3dy$

$=[y^2+3y]_{-1}^1$

$=3(1)-3(-1)=6$ sq. units