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) =...
Evaluate the following integral.. 5e 6Inx -dx х Soon 1 5 e 6'nx dx = (Type an exact answer.) Х 1
Evaluate V1 + x² -dx х II if x = 1 and c = 0. (Keep three decimal places.)
Evaluate the indefinite integral. (Use C for the constant of integration.) (In(x)) dx Icon х
X-1 dx 2 . x²-5x + 6 х
x dx dy + y) dx dy 0 (b (d a)(c) Answer: (a)
x dx dy + y) dx dy 0 (b (d a)(c) Answer: (a)
u-substitution: indefinite integrals (In x)2 = dx = х Choose 1 answer: @ (In x)2 + C 2 In x + C (In x)3 3 +C © (In x)3 + C
Integrate using partial fractions.
Х dx 4 1 +X
use Laplace transform
dx+2 dx + x = 5e»?' +1 And the initial conditions are, x(0)=2 d (0)=1
use the fundalmental therom of Calculus if applicable
Х Evaluate dx x? + 1