QUESTION 9 Find the value of the integral exactly. No decimals. 5 1 3x2 - 2x...
9. Find the average value of f(x) = 3x2 - 2x on the interval [1,4]. (8 Points) Hint: Use the formula: favo = 6-a Srca) dx
Use substitution to find an indefinite integral with Question What is / -4x(3x2 – 1)?dx? Do not include the constant "+C" in your answer. For example, if you found the antiderivative was 2x + C, you would enter 2x. Provide your answer below: MORE INSTRUCTION Cantant attribution
use partial fractions to find the integral Apr zu at 12:54pm Instructions Question 16 3x3 - 28x² + 39x + 82 dx Use partial fractions to find the integral x2 - 10x +21 O 3x+2 +31n|x = 71 – 7Inļx - 3/+C ** +27 – 31n\v – 71 + 7|n|x – 3/+C 3x2 + 2x + 3 In|x - 7| + 7\n\x - 31+C x2 + 2x + 3 in [x - 7| - 7|n|x - 31+C 3x + 2x...
Find the integral - х 2x dx OA. 12 + *2x-31.0 2x-3)? D. es 38.2-3.. durare HABER
2. Find ((2 + 2x + 3x)dx using the definition of the integral (limit of the Riemann 12+2x+33 Sum)
1. Evaluate the indefinite integral sen (2x) – 7 cos(9x) – sec°(3x) dx = 2. Evaluate the indefinite integral | cor(3x) – sec(x) tant(x) + 9 tan(2x) dx = 3. Calculate the indefinite integral using the substitution rule | sec?0 tan*o do =
Problem 4.1 Dependent equations? Given: x +2x2 2x+3x, 5 2xx +3x-2x 18 -x, + 3x2 + x3-4x,--6 x 3x2+ 5x 5x, 13 If the set of 4 equations is dependent or independent Find:
Find the following indefinite integral: 122* •2x² + 7x-3 -dx X-2 Find the following indefinite integral: ( (sec(2x) 2x) + tan(2x))dx
[6 points] Suppose that f'(x) = 3x2 + 2x + 7 and f(1) = 11. Find the function f(x). Of(x) = x3 + x2 + 7x + 11 Of(x) = x3 + x2 + 7x + 2 Of(x) = 6x + 5 Of(x) = x3 + x2 + 9 10. V MY NOTES [6 points] Find the integral: 15x3/2 + 21n|x[ + c 10 x3/2 + 2\n\xl + C O 5x1/2 - + c şx-1/2 - + c
10 Use substitution to find the indefinite integral s -dx. (2x - 5)6