Definite integrals and area under a curve Quiz

1. Evaluate $\int_1^2 6x^2\,dx$.

• A. $12$
• B. $14$
• C. $16$
• D. $18$

2. Evaluate $\int_0^4\sqrt{x}\,dx$.

• A. $\frac83$
• B. $4$
• C. $8$
• D. $\frac{16}{3}$

3. Find the area enclosed by $y=x^2-9$, the $x$-axis, $x=-3$ and $x=3$.

• A. $36$
• B. $-36$
• C. $0$
• D. $18$

4. Evaluate $\int_0^2(x^3+1)\,dx$.

• A. $10$
• B. $4$
• C. $6$
• D. $9$

5. Find the area between $y=4-x^2$ and the $x$-axis.

• A. $\frac{16}{3}$
• B. $\frac{32}{3}$
• C. $8$
• D. $16$