Question

Let f(x) be a differentiable function with the following values: | x | 1 | 2 | 3 | 5 | 6 | 10 | 15 | | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | | f(x) | -3 | -10 | 10 | -4 | 4 | 1 | -5 | Evaluate each of the following definite integrals. ?[1 to 2] f'(5x) dx = ?[1 to 2] f'(3x) dx = ?[1 to 2] f'(5x) + f'(3x) dx = ?[1 to 2] f'(5x) + 3 dx =

          Let f(x) be a differentiable function with the following values:

| x | 1 | 2 | 3 | 5 | 6 | 10 | 15 |
| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |
| f(x) | -3 | -10 | 10 | -4 | 4 | 1 | -5 |

Evaluate each of the following definite integrals.

?[1 to 2] f'(5x) dx =

?[1 to 2] f'(3x) dx =

?[1 to 2] f'(5x) + f'(3x) dx =

?[1 to 2] f'(5x) + 3 dx =

Let f(x) be a differentiable function with the following values:

| x | 1 | 2 | 3 | 5 | 6 | 10 | 15 |
| :— | :— | :— | :— | :— | :— | :— | :— |
| f(x) | -3 | -10 | 10 | -4 | 4 | 1 | -5 |

Evaluate each of the following definite integrals.

?[1 to 2] f'(5x) dx =

?[1 to 2] f'(3x) dx =

?[1 to 2] f'(5x) + f'(3x) dx =

?[1 to 2] f'(5x) + 3 dx =

Added by Antra G.

Calculus

Deborah Hughes-Hallett, Andrew M.… 5th Edition

Chapter 7

Instant Answer

Solved by Expert Vincenzo Zaccaro

07/25/2023

Step 1

Step 1:** Calculate the integral from 1 to 2 of \(f'(5x) dx\): \[\frac{1}{5} [f(10) - f(5)] = \frac{1}{5} [1 - (-4)] = \frac{1}{5} \times 5 = 1\] ** Show more…

Show all steps

Thanks for your feedback!

Let f(x) be a differentiable function with the following values: x 1 2 3 5 6 10 15 f(x) −3 −10 10 −4 4 1 −5 Evaluate each of the following definite integrals. ∫[1 to 2] f '(5x) dx = ∫[1 to 2] f '(3x) dx = ∫[1 to 2] f '(5x) + f '(3x) dx = ∫[1 to 2] f '(5x) + 3 dx =