Region lies in the first quadrant and is bounded below by

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Integrals · Applications of Integrals

Problem

Region

V

lies in the first quadrant and is bounded below by

y=\dfrac{x^{2}}{2}

. Its upper boundary is

y=6

for

0\le x\le2

and

y=x+4

for

2\le x\le5

. Find the area of

V