Let's solve the world's math problems!
integrate to find y
Given $\frac{dy}{dx}=24x^{11}$ find y.
Step 1: first rewrite like this $dy=24x^{11}dx$
Step 2: now integrate both sides. $\int dy=\int 24 x^{11} dx$
Step 3: now $\int dy=y$ and $\int 24x^{11}dx=\frac{24}{12}x^{12}$
Step 4: so, $y=2x^{12}$
Next step? Make a sketch