find the indefinite integral and check the result by differentiation Analytic Geometry & Calculus II, Final Examination Part I, Spring costx)swLx) b) J sin 2x cos 2x dx 2 (-cos (4)(Hx) chec...
Find the indefinite integral and check the result by differentiation. (Use C for the constant of integration.) (4 + 2x)?(2) dx / 14+2
5. [-/2 points) DETAILS LARCALC9 4.1.022. Find the indefinite integral and check your result by differentiation. (Use C for the constant of integration.) (x+ dx Need Help? Read it | Talk to a Tutor Show My Work (Required) What steps or reasoning did you use? Your work counts towards your score. You can submit show my work an unlimited number of times.
ise trapeczoidal rale to mumericlly evaluane ths inegra I(sin x +cos 2x) dx Divide the integral of integration into 5 divisions (n-5), Present all the steps and the final answer to three decimal places. Maintain four decimal places in intermediate steps. Check your answer against the exact value of the integral.
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
2. [0/5 Points] DETAILS PREVIOUS ANSWERS LARCALCET7 5.1.018. Find the indefinite integral and check your result by differentiation. (Use C for the constant of integration.) 1 dx |(vx+ 5*) )(2x+1)+ Need Help? Read it Talk to a Tutor 3. [-15 Points) DETAILS LARCALCET7 5.1.038.MI. Find the particular solution of the differential equation that satisfies the initial condition(s). g'(x) = 2x2, g(-1) = 5 g(x) - Need Help? Read It Master it Talk to a Tutor Submit Answer 4. [-15 Points)...
Question 4 a) Differentiate with respect to x, i. y = sin 2x ii. y = x In(5x + 2) b) Show that if y = cotx, dy dx -cosec? x c) Show that if y = tan x, then dy dx 1 1+xal Question 5 Use calculus to find any turning points of the function A(t) = te-020 and determine their nature (maximum, minimum or inflexion) using any method. Question 6 a) Find tan” x dx b) Use integration...
Calculus 1 MAT 201 Final Exam, Spring 1 2019, LAGCC Evaluate the following limits, you may use L'Hospital's rule, if it applies. -V31+4 lim 4-1 -4 a. b. Evaluate the following limit. lim xIn x x-0 2. Evaluate and explain your answer -xsin(x)+cos (x) x+1 130 dx (a.) 130 Differentiate each of the following below using the fundamental theorem of calc part 1 X cos? (1- 51) dt ) g (x) = S_ e (2c) g(t)= J x2t+1 3 Use...
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) =...
2. Evaluate the following indefinite integrals: (a) vel V=(x+2) dx ET (b) 3. Evaluate the following definite integrals: (a) cos(x) da (sin(x) +18 (b) COS 4. The graph of y=g(t) is shown below, and consists of semicircles and line segments. y=g() -1 3 6 596 s(t) dt Define the function f(x) by f(x)= Use the graph of y = g(t) and the properties of the definite integral to find: (a) the value of (i) f(3) (ii) f(-1) (iii) 1'(6) (b)...