Extension 1 Integration Worksheet 1. Show that
= ∏a
2.
and show that its value is ∏2/4 3.
Verify that the value of the following integral is zero:
4.
Evaluate
as limit of sums and show that its value is 34
5. Show that 1∫2 (x+2)dx = 7/2 6.
Use the substitution u = 25 – x2 to evaluate 3∫4 2x/√(25-x2) dx
7.
Find the volume of the solid of revolution formed when the region bounded 1 by the curve y = , the x-axis, the y-axis and the line x = 3, is rotated 9 + x 2 about the x-axis.
8.
Show that:
= {(log x)2}/2 +c
9. Using integration, show that the area of the following region bounded by ellipse is 6π square units:
10. Write the value of the following integral is zero:
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Extension 1 Integration Worksheet
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