solve 1 and 2. Evaluate the integral. 3T/4 1) rt/4 D) o B)-16 C) Find the derivative of the integral using the Seco...
Use the Second Fundamental Theorem Of Calculus To Evaluate The Integral 3 3 J 1 sec-Y T/2 sin 2m dx cos x 3 3 J 1 sec-Y T/2 sin 2m dx cos x
Using part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. (b) f(x) = بدايه dt (c) 3x+1 f(x) = st sin(+4) dt
Express the limit as a definite integral. n lim Σ 1P10k1 TCK' AXk, where P is a partition of [6, 12] 6 OA. 7x6 dx 12 n B. 7x dx 1 12 Oc. zxdx de 12 OD | 42x2 dx Find the derivative. to y = = S cos Vt dt 0 O A. cos (x3) O B. sin (x3) OC. 6x5 OD. cos (x3) - 1 cos (x3) Solve the initial value problem. dy = x(2+x2)), y(0) = 0...
(4 points) Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. (6 sin^(t) + 2) dt g'(x) =
1. Evaluate the integral using FTC. -1/2 (a) d. d. (b) 5°2+ (c) [(4-2)(1 – 4) dt (a) Lisa (cos (e) – e=%) dt
Using part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 11. (21 points) Using part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. (a) f(x) = [ 71 – dt (b) $(a) = Sie a
(a) The derivative of a function (b) The definite integral 3. Find the antiderivative: 1 x sin xdx 4. State the fundamental theorem of calcul 5. The position of an object moving on a
help please Evaluate the definite integral using the Fundamental Theorem of Calculus. (1+ (1 + 14х5) dx Use The Fundamental Theorem of Calculus and the antiderivative found in Step 2 to evaluate the definite integral. fo* (2 + 14x5) dx = = (x+3x0916 (1+](O* )-( O*+O) “) 10 3
4. We would like to evaluate d de sin(t)2tdt (a) (6 points) Compute | (x) = f', sin(t)2tdt (b) (6 points) Find f'(x). (c) (6 points) State the fundamental theorem of calculus. (d) (6 points) Use the fundamental theorem of calculus to compute ź (S-, sin(t2)2tdt) without first computing the integral.
1. Find the derivative of the function y (x) , showing all steps used 2. Find the derivative of the function y(x)In x), showing all steps used. 3. Show that sin(x) 1- (sin(x) cot (x))2, showing all steps 4. Evaluate the following integral:珓 1-cos' (x) cos(x) dx, showing all steps. 5. If the rate at which a car's position is changing is given by the formula0.3t2 - 2.0t +100, where x is in meters and t is in seconds, find...