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INTEGRALS
1. Evaluate:
2. Evaluate:
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3. Find the area under the curve y = cos q, above the q-axis and to the right of the y-axis. Sketch the area. |
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4. Evaluate:
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5. Let E(x) = |
ó
õ
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x
0
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e-t2dt. Find E ¢(0) |
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6. Find |
d
dx
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ó
õ
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x2
0
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(t3 + t)dt |
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7. Evaluate |
ó
õ
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1
0
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Ö1 - x2
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dx |
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8. Write a Riemann Sum S with 3 subdivisions which approximates
the area under y = x2 ,above the x-axis beween x =
0 and x = 1.
Use the output at the right-hand endpoint of the subintervals as the
height of the rectangles. Sketch the graph and the approximating
rectangles.
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9. Evaluate |
ó
õ
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p/3
0
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sin q
1 + cos q
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d q |
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10. Evaluate: |
ó
õ
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e
1
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lnx
x
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dx |
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