Evaluate the definite integral. (4x + sin x) dx (1) + + 73/2 (2) 12 - 2/2 (3) 212 + 2 (4) -1
4 Evaluate the definite integral 4x dx et
7. Express the limits lim sin(x: Aras a definite integral on the interval [0.2) and then evaluate the integral
Problem 10. (1 point) 5." -4 sin x dx a) Approximate the definite integral with the Trapezoid Rule and n = 4. b) Approximate the definite integral with Simpson's Rule and n = 4. c) Find the exact value of the integral.
if x < 1 f(x) = { * if x > 1 Evaluate the definite integral. [ºs(x)dx f(x) dx Evaluate the integral –9|x? – 4x|dx Evaluate the integral $." (048 + x) as Integral =
1. Evaluate the following definite integral using the substitution formula: LI 4 cos(x) sin(x)dr.
Question 3. Evaluate the definite integral (show your steps!). T PV/2 e sin(x2) dx
For r = e on the interval 0 <O< 1, find a definite integral that represents the arc length. Select the correct answer below: O 546 4Ꮄ dᎾ I'avas V2.de I 12 de
Compute f (x) for f(x)=tan(e-3x + sin 4x + 2) a. f(x)=(-3e-3x + 4cos 4x) sec?(e-3x + sin 4x+2) b. None of the other answers oc f'(x) = sec?(-e-3x + 4cos 4x) d. f'(x) =(e-3x + sin 4x) sec?(e-3x + sin 4x+1)
Evaluate the integral. dx Vx2 - 4x - 12 of tani *(x-2) + c sin +C X sin +C 4 sin +C Could you help me in this QS, with steps, and make sure that the final solution from the options :)