M-171Q Quiz: MATH 171 Montana State Quiz9

Savannah State University Department of Mathematics MATH 2101 Calculus I Take Home Test Fall 2017 Name Please answer the following questions. Answers without justifying work will rec eive no credit 1) Find the general anti derivative of fx)- cosz -sinx+ 4x+5 f,f(x)dx= 10 FindAgo)dx f:f(x)dx-3, and f4g(x)dx=8. I: g(x)dx=12 2) Given: Use substitution. 3) Evaluate the integral: cos x b) dx sinx +1 5) Compute the integral: 4x3 + 3x2-1)dx

r the following questions. Answers without justifying work will receive no credit 1) Find the general anti derivative of f(x) = cosx-sinx + 1 + ex + 4x 2) Given: f:f(x)dx-3. I: f(x)dx=10 and Find s(6f (x) +4g(a)dx 1: g(x)dx 8,stg(x)dx =12 Use substitution. 3) Evaluate the integral: b) 100 d sinx + 1

5.2 5.3 Chase Clay ton Worksheet 12 Math 165 Fall 2017 1. Let uer) and v(x) be functions of z and consider the function u(x) | f(t) dt u(x) F(x) = where f is a continuous function (a) Find an expression forf FG) (b) Compute this expression if u(x) sinx,r(x)-x2 cos(re), and f(x)-vz2sinz 2 Assuming that f(x) dx = 2 and g(z) dz -4, evaluate/2f (x) 3g(a) dr. -30-4) 3. Assunne that / 3/(r) dz--2, / 5f(x) dr 7, and f(z)--1 and evaluate f(x) da and 3f (x) +2 dz. 4. Since f(x) S If(a) for all z show that f(x) dx If(x)ld 5. Assume that for b > 0 that f(x) dx = 1-b-1. Use this to calculate the following: (a) f(x) dz. (b) 3f(x) -4da. 6. Use geometric reasoning to justify the following "facts" (a) If /(z) is even then Lf(z)dz=rf(z)dz. (b) If f(r) is odd then ()dr o.