Question
Verify directly that $F$ is an antiderivative of $f$$$F(x)=\frac{1}{3} x^{3}+2 x^{2}-x+2 ; f(x)=x^{2}+4 x-1$$
Step 1
F'(x) = d/dx (1/3 * x^3 + 2x^2 - x + 2) Show more…
Show all steps
Your feedback will help us improve your experience
Lucas Finney and 64 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Verify that the function $F(x)=\frac{1}{3}(x+13)^{3}$ is an antiderivative of $f(x)=(x+13)^{2}$
Integration
The Indefinite Integral
In Exercises $1,2, \underline{3}$ and $\underline{4},$ verify directly that $F$ is an antiderivative of $f$. $$F(x)=\frac{1}{3} x^{3}+2 x^{2}-x+2 ; f(x)=x^{2}+4 x-1$$
Antiderivatives and the Rules of Integration
Verify directly that $F$ is an antiderivative of $f$ $$F(x)=\sqrt{2 x^{2}-1} ; f(x)=\frac{2 x}{\sqrt{2 x^{2}-1}}$$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD