Question:
The changes in a function $\mathrm{y}$ and the independent variable $\mathrm{x}$ are related as $\frac{d y}{d x}=x^{2}$.
Find $y$ as a function of $x$.
Solution:
It is given that $\frac{d y}{d t}=x^{2}$
We can write $d y=x^{2} d x$
or, $y=\int^{x^{2} d x}=\frac{x^{3}}{3}+c$
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.