3. f(x)= Ji-1 1. Find a function f and a number a such that f(t) -dt = 2/ for all x > 0 t2 6+ %3D Evaluate the following derivatives. 2. f(r)= J. t³ Vt + 1dt f(x) = 3. f(x) = / rl+x 73 + t – 1 dt t2 + 1 %3D Evaluate the following integrals. (You may use FTC now!) [(4 – 2) Vīdz 4. 5. #(20² + 5)7°dx 6. 5x cos(x²)dx 7. (x³ + x° tan(x))dx [Hint: Look at the interval which we are integrating over] 8. Find the area between the curves y = cos(x) and y = 1 – cos(x) on the interval [–x, 7].

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 2CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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How do I do number 6

3. f(x)= Ji-1
1. Find a function f and a number a such that
f(t)
-dt = 2/ for all x > 0
t2
6+
Evaluate the following derivatives.
2. S(z) = ["
f(r)= J.
t³ Vt + 1dt
r1+z 13 +t - 1
dt
t2 + 1
Evaluate the following integrals. (You may use FTC now!)
4.
(4 – x)/rdx
5.
x(2x? + 5)70dx
6.
5x cos(x²)dx
/4
7.
-n/4
T (2³ + a® tan(x))dx
[Hint: Look at the interval which we are integrating over]
8. Find the area between the curves y = cos(x) and y = 1 – cos(x) on the interval [-T, 7].
Transcribed Image Text:3. f(x)= Ji-1 1. Find a function f and a number a such that f(t) -dt = 2/ for all x > 0 t2 6+ Evaluate the following derivatives. 2. S(z) = [" f(r)= J. t³ Vt + 1dt r1+z 13 +t - 1 dt t2 + 1 Evaluate the following integrals. (You may use FTC now!) 4. (4 – x)/rdx 5. x(2x? + 5)70dx 6. 5x cos(x²)dx /4 7. -n/4 T (2³ + a® tan(x))dx [Hint: Look at the interval which we are integrating over] 8. Find the area between the curves y = cos(x) and y = 1 – cos(x) on the interval [-T, 7].
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