Find the following integral. S* х 6x + 1 dx 6x + 1 dx =
5.4 S sin (et) S (x+x) dx f. ) cos(x) S (6x²-x-1) dx -0.1
Choose the best answer: S. dx X V16-9x2 In|csc cot | + C 2 n|csce cot | +C 4 In|csc 8 – cotoſ +C 3 In|csc – cot 0 + c 4
Evaluate the definite integral. 5 S (5x2 - 6x +6)dx 0
Evaluate the following integral. + 6x - 1 dx X-X Find the partial fraction decomposition of the integrand. St*6x=1&x=SO dx Evaluate the indefinite integral. S*** + 6x - 1 3 X-X dx =
3) Evaluate each indefinite integral. 015(6x?- 2e +2+5)dx bg(Vx-+ 3)dx
Determine the following anti-derivatives: Problem 1: S (2.² + 6x - 5) dx Problem 2: S(cos(x) - sin(x)) do Problem 3: 5 (v + + + 2 **) do Problem 4: S (3e" + ) dx
Evaluate using partial fractions 4 + 9x2 +r+2 dx 2 +9
1 of 4 he following integrals: .nx dx (parts) 4 2) [4x² In(6x) dx parts) 3) 1x*sin2x dx (parts) 4) ſcosº x dx (trig identity) 5) ſsinº x cos*x dx (trig identity) 6) ſcosº xvsin x dx (reduction) 7) ſcot* x dx reduction) 8) ſtan x secºx dx (reduction)
Find each of the following: 5. -dx 1+x2 6. S(6x +Vx-9dx M 31