mfe hw 5 - Worksheet 5 1 Evaluate each integral by...

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Worksheet 51. 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
2. Given thatR103x2+ 4dx= 55-8, what isR02+ 4du?
13u
u
u
3. Write as a single integral in the formRbaf(x)dx:Z2-2f(x)dx+Z52f(x)dx-Z-1-2f(x)dx
4. IfR90f(x)dx= 37 and0g(x)dx= 16, findZ902f(x) + 3g(x)dx.R9
5. Find the following integrals:(a)R-14+1y)dy
(b)R7exdx
(c)R8xdx
6. IfF(x) =Rx2f(t)dt, wherefis the function whose graph is given, which of the following values is the largest?
Solution:7. Evaluate the definite integrals:(a)R30(x2+ 4x+ 3)dx
(b)R31tdt
(c)02exdx
(d)1ydy2y=1
1
8. The area under 1/xon the interval 1xbis equal to 6. Find the value ofb.

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