Area bounded by the curve


Area bounded by the curve $y=x^{3}$, the $x$-axis and the ordinates $x=-2$ and $x=1$ is

A. $-9$

B. $-\frac{15}{4}$

C. $\frac{15}{4}$

D. $\frac{17}{4}$


Required Area $=\left|\int_{-2}^{0} y d x\right|+\int_{0}^{1} y d x$

$=\left|\int_{-2}^{0} x^{3} d x\right|+\int_{0}^{1} x^{3} d x$





$=\frac{17}{4}$ sq. units

Thus, the correct answer is D.


Leave a comment


Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now