Find an anti-derivative of the function $3x^2 + 4x^3$ using the method of inspection.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → $x^3 + x^4$
We look for a function whose derivative is $3x^2 + 4x^3$.
$\frac{d}{dx} (x^3 + x^4) = 3x^2 + 4x^3.$
Therefore, an anti derivative of $3x^2 + 4x^3$ is $x^3 + x^4$.