5.5 Integration and area under a curve Quiz

1. Find $\int(6x^2-4x)\,dx$.

• A. $2x^3-2x^2+c$
• B. $12x-4+c$
• C. $6x^3-4x^2+c$
• D. $2x^3-2x^2$

2. Find $\int x^{-2}\,dx$.

• A. $-2x^{-3}+c$
• B. $\frac{1}{x}+c$
• C. $-\frac{1}{x}+c$
• D. $-\frac{1}{x^{3}}+c$

3. $\frac{dy}{dx}=2x+1$ and $y=5$ when $x=1$. Find $y$.

• A. $x^2+x+5$
• B. $x^2+x+2$
• C. $x^2+x+1$
• D. $x^2+x+3$

4. Evaluate $\int_1^3(2x+1)\,dx$.

• A. $8$
• B. $10$
• C. $12$
• D. $14$

5. Find the area bounded by $y=3x^2$, the $x$-axis, $x=1$ and $x=2$.

• A. $9$
• B. $5$
• C. $7$
• D. $12$