5.11 Further integration Quiz

1. Find $\int\sin(2x+5)\,dx$.

• A. $2\cos(2x+5)+c$
• B. $-\frac12\cos(2x+5)+c$
• C. $\frac12\cos(2x+5)+c$
• D. $-2\cos(2x+5)+c$

2. Find $\int_1^e\frac1x\,dx$.

• A. $0$
• B. $e-1$
• C. $\frac1e$
• D. $1$

3. Find $\int\frac{1}{2x+1}\,dx$.

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

4. Find $\int x\cos(x^2)\,dx$.

• A. $\sin(x^2)+c$
• B. $-\frac12\sin(x^2)+c$
• C. $\frac12\sin(x^2)+c$
• D. $2\sin(x^2)+c$

5. Find $\int\frac{3}{\cos^2x}\,dx$.

• A. $-3\tan x+c$
• B. $3\tan x+c$
• C. $\frac{3}{\sin x}+c$
• D. $3\ln|\cos x|+c$