Integrating standard functions Quiz

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

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

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

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

3. Find $\int\sin3x\,\mathrm{d}x$.

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

4. Find $\int\sec^22x\,\mathrm{d}x$.

• A. $\frac12\tan2x+c$
• B. $2\tan2x+c$
• C. $\tan2x+c$
• D. $\frac13\sec^32x+c$

5. Find $\int_0^{\pi/2}\cos^2x\,\mathrm{d}x$.

• A. $\frac{\pi}{2}$
• B. $\frac{\pi}{4}$
• C. $1$
• D. $\frac12$