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# Calculus Questions - All Grades

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Find the indefinite integral. $inttan(8x)8 \ dx$
1. $-8ln|cos8x|+C$
2. $ln|sec8x|+C$
3. $1/8ln|cos8x|+C$
4. $-ln|cos8x|+C$
Find the indefinite integral. $intcos^4(x)sin(x) \ dx$
1. $cos^5(x)+C$
2. $-1/5sin^5(x)+C$
3. $sin^5(x)+C$
4. $-1/5cos^5(x)+C$
5. $-5cos^5(x)+C$
An equation of the line tangent to the graph of $y=cos(2x)$ at $x=pi/4$ is
1. $y-1=-(x-pi/4)$
2. $y-1=-2(x-pi/4)$
3. $y=2(x-pi/4)$
4. $y=-(x-pi/4)$
5. $y=-2(x-pi/4)$
If $a_1=100$ and $r=1/2$, find the 5th term of this geometric sequence.
1. $1$
2. $1600$
3. $6 1/4$
4. $10,000$
5. none of these are correct