Integrating standard functions Quiz

1. Find $\int e^{5x}\,dx$.

• A. $5e^{5x}+c$
• B. $\frac15e^{5x}+c$
• C. $e^{5x}+c$
• D. $\frac{e^{5x+1}}{5x+1}+c$

2. Find $\int\frac{1}{2x}\,dx$ for $x>0$.

• A. $\frac12\ln x+c$
• B. $\ln2x+c$
• C. $2\ln x+c$
• D. $-\frac{1}{2x^2}+c$

3. Find $\int\sin3x\,dx$.

• A. $3\cos3x+c$
• B. $\frac13\cos3x+c$
• C. $-\frac13\cos3x+c$
• D. $-3\cos3x+c$

4. Find the exact value of $\int_0^{\pi/6}\cos3x\,dx$.

• A. $3$
• B. $0$
• C. $-\frac13$
• D. $\frac13$

5. Find $\int3^x\,dx$.

• A. $3^x\ln3+c$
• B. $\frac{3^x}{\ln3}+c$
• C. $\frac{3^{x+1}}{x+1}+c$
• D. $x\,3^{x-1}+c$