wkst-5.pdf - Worksheet 5 Properties of definite integrals...

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Worksheet 5Properties of definite integrals; The Evaluation Theorem1. 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|dx2. Given thatR103xx2+ 4dx= 55-8, what isR0u2+ 4du?13u3. Write as a single integral in the formRbaf(x)dx:Z2-2f(x)dx+Z52f(x)dx-Z-1-2f(x)dx4. IfR90f(x)dx= 37 andR90g(x)dx= 16, findZ902f(x) + 3g(x)dx.5. Find the following integrals:(a)R-1-3(y4+1y)dy(b)R7exdx(c)R8xdx6. IfF(x) =Rx2f(t)dt, wherefis the function whose graph is given, which of the following values is the largest?a)F(0)b)F(1)c)F(2)d)F(3)e)F(4)
7. Evaluate the definite integrals:

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