wkst-5-with-solutions - Worksheet 5 1 RA table of values of...

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Worksheet 51. A table of values of an increasing functionfis shown.Use the table to find lower and upper estimates forR3010f(x)dx.
2. Evaluate each integral by representing it in terms of areas:(a)R2-1(1-x)dx(b)R0-3(1 +9-x2)dx(c)R2-1|x|dx
3. Given thatR103x2+ 4dx= 55-8, what isR02+ 4du?x13uu
u
u
4. Write as a single integral in the formRbaf(x)dx:Z2-2f(x)dx+Z52f(x)dx-Z-1-2f(x)dx
6. Find the following integrals:(a)R-1-3(y4+1y)dy
(b)R7exdx
(c)R8xdx
7. IfF(x) =Rx2f(t)dt, wherefis the function whose graph is given, which of the following values is the largest?
Solution:8. Evaluate the definite integrals:(a)R30(x2+ 4x+ 3)dx
(b)R31tdt
(c)02exdx
(d)1ydy2y=1
1
9. The area under 1/xon the interval 1xbis equal to 6. Find the value of

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