5. Calculus

Finding The Constant Of Integration — Quiz

Test your understanding of finding the constant of integration with 5 practice questions.

Practice Questions

Question 1

If $\frac{d}{dx}F(x)=f(x)$, what is the most general form of $F(x)$ when integrating $f(x)$?

Question 2

Why is a constant of integration needed after finding an indefinite integral?

Question 3

Evaluate $\int 6x\,dx$.

Question 4

A curve has derivative $\frac{dy}{dx}=2x$. Which function could be the original curve?

Question 5

If $\int (4x^3)\,dx = x^4 + C$, which statement is correct about the constant $C$?