7.) If S*f(x)dx = 22 and S, f(x)dx = -14, find the following and clearly show...
Given that , Jº f (x) dx = 15 and , S | (r) dx = 9 where a <b<c Determine the following 1. a Sº f (x) dx = 2. Sº 3f (x) di = 3. Sº f (I) du = 4.. S f(x) dx =
please show all work clearly thanks Find: 5x37x + 1 dx 37x-1 7. Find: 5 dx 8. Find: S(sin? x + cos²x) dx 9. Find: S(1 + tan’x) dx 10. Find: S(-1 - cotx) dx
3) Suppose F(x) is an antiderivative of f(x). Use the graph of the functionf(x) below to answer the following: flx) a) Approximate f'(6), and explain/show how you arrived at your answer 6 4 3 2 b) Explain/show why F'(6) 2 1 2 3 4 5 6 7 c) Approximate o f(x)dx, and explain/show how you arrived at your answer. d) Explain/show why f'(x)dx-3.
2. E F Given the graph above find the following net area: a. Së f(x) dx b. Së f(x) dx c. Sc2f(x) dx d. Sº if(x) dx e. Sflf (x)]dx f. Si f(x) dx
Question 1 1 pts If f(x)dx = 10 and Să f(x) = 3.6, find si f(x)dx. 6.4 Question 2 1 pts Let Só f(x)dx = 6, Sº f(x)dx = -4, So g(x)dx = 12, S g(x)dx = 9 Use these values to evaluate the given definite integral: Si (35(x) + 2g(x))dx —
If S® f(x) dx = 39 and fo* scu g(x) dx = 14, find • Bºca [2f(x) + 49(x)] dx.
* (* *x) dx = 14 and f* rex) dx = 3.1, find [° ) dx. 1
1 (a) Evaluate the integral sz? dx. (32-7) 5 2 7 (b)if s f(x)dx = 3 and 5 f(x)dt = 4, find S f(x)dr. 5
11. a) Find the derivative of f(x) by using the definition of derivative: lim f(x+4x) - f (x ) Ax0 Ar f(x) = 4x² +8 Make sure you show all your work clearly and neatly!!! If steps are not clearly written you will not receive any credit. (9 points) f'(x) = b) Check your answer from part (a) by finding the derivative of f(x) = 4x² +8. (1 pts) f'(x)= c) What is the instantaneous rate of change of the...
Find the intervals of convergence of f(x), f'(x), f"(x), and the indefinte integral of f(x) dx. (Be sure to include a check for convergence at the endpoints if the intervals. Enter your answer using interva notation.) Find the intervals of convergence of f(x), f'(x), F"(x), and Sf(x) dx. (Be sure to include a check for convergene Ax) = Ë (-1)" + 2(x – 7)" n=1 מלח (a) f(x) (b) f(x) (c) F"(x) (d) f(x) dx