Let be the region in the first quadrant bounded on the right by the curve and on the…

MATHEMATICS · Multi-part · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let

R

be the region in the first quadrant bounded on the right by the curve

x=y^{2}+1

and on the left by the

y

–axis between

y=0

and

y=4

. (a) Write a definite integral that represents the exact area of

R

. (b) Evaluate the integral in part (a) to determine the numerical value of the area.