Integration
- Thread starter tkvictim
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tutor_joel
Junior Member
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- Feb 6, 2010
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I assume...
\(\displaystyle \int{(2200 + 10e^{0.8t})dt\)
ignoring the constant for now,
\(\displaystyle 10\int{e^{0.8t}dt\)
\(\displaystyle u = 0.8t\)
\(\displaystyle du = 0.8dt\)
does that get you started? Got it from here?
\(\displaystyle \int{(2200 + 10e^{0.8t})dt\)
ignoring the constant for now,
\(\displaystyle 10\int{e^{0.8t}dt\)
\(\displaystyle u = 0.8t\)
\(\displaystyle du = 0.8dt\)
does that get you started? Got it from here?
I have a few more problems, and I really need to make sure I know how to do this! My AP calculus class uses relatively simple calculus, I assume, since we didn't even learn Integration by Parts; so any assistance and showing every step will reaaaalllly help. :]
1. Find the volume of the solid obtained by rotating the region bounded by the curves y= (x-2)[sup:3hnkw2yl](1/2)[/sup:3hnkw2yl], y=0, and x=6 is rotated about the x-axis. Sketch a graph.
2. find the volume of the solid obtained when the region bounded by the line y=2x, the line x=3, and the x-axis is rotated about the y-axis. Sketch a graph.
I got 72pi for this problem, but I'm not certain at all.
3. Find the volume of a solid obtained by rotating the region bounded by the curves y=x[sup:3hnkw2yl]3[/sup:3hnkw2yl], y=0, and x=1 about the line x=2. Sketch a graph.
1. Find the volume of the solid obtained by rotating the region bounded by the curves y= (x-2)[sup:3hnkw2yl](1/2)[/sup:3hnkw2yl], y=0, and x=6 is rotated about the x-axis. Sketch a graph.
2. find the volume of the solid obtained when the region bounded by the line y=2x, the line x=3, and the x-axis is rotated about the y-axis. Sketch a graph.
I got 72pi for this problem, but I'm not certain at all.
3. Find the volume of a solid obtained by rotating the region bounded by the curves y=x[sup:3hnkw2yl]3[/sup:3hnkw2yl], y=0, and x=1 about the line x=2. Sketch a graph.