integrate. state du and u
a) tan(4x sec (4x)dr dx r +1 b) dx x +1 c) csc (3xax
a) tan(4x sec (4x)dr dx r +1 b) dx x +1 c) csc (3xax
(1 point) i * f(x) dx = 3 and ' s(x) dx = 4, what is the value of [ f(xBC) da where D is the rectangle: 3 < x < 4, 3 sy s 7?
EXAMPLE 3 Find dx. 13 - 2x² SOLUTION Let u = 3 - 2x. Then du dx, so x dx du and 1 3 = 2x2 dx = = 1.I tu du 1 wrz du (27ū)+c 11 Il + C (in terms of x).
13. Integrate: a. j«x+278)dx 0 b. (dx х c. dx 9+ x d . xdx? +2 dx 2x+1 хр '(x’+x+3) f. I sin (2x) dx g. cos (3x) dx h. ſ(cos(2x)+ + secº (x))dx i. [V2x+1 dx j. S x(x² + 1) dx k. | xe m. [sec? (10x) dx 16 n. .si dx 1+x 0. 16x 1 + x dx 5 P. STA dx 9. [sec xV1 + tan x dx 14. Given f(x)=5e* - 4 and f(0) =...
6. Find the general indefinite integral: J (u + 4)(2u +1)du I a. (3x dx conto de ton of b. [VF (82 +31 + 2)dx cinco T() = f(x) d. Sx dx (a=-1) sin x-e' +2 de 188
Integrate the following problems. Complete the strategy box to
identify "u" and "du".
2 In(x) 2.8 – x² + 3x+1 d. d.x . 15. 17. d.x Sert 1 + cotx (2.x² - 1) dx csc x 16. 18.
Consider the following initial-value problem. 5 f'(x) f(1) = 17 Integrate the function f'(x). (Use C for the constant of integration.) f'(x) dx Find the value of C using the condition f(1) = 17. с State the function f(x) found by solving the given initial-value problem. f(x) Consider the following. |--145 – 03 +49) du Simplify the integrand by distributing u to each term. SO Jau du x Find the indefinite integral. (Use C for the constant of integration.) 6...
Integrate fc2x (2x + 4)ex2+4x–3 dx
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 =
integrate the following if possible
e3x?-8**l(3x – 4)dx