Compute the followingelementaryintegrals.(a)dxxxxx3233/2[ 5 ](b)dxxx222[5](c)dxxsin3/0
Compute the followingelementaryintegrals.(a)dxxxxx3233/2[ 5 ](b)dxxx222[5](c)dxxsin3/0 Question [15] Compute the following elementary integrals. 3x dx 3e-*-2 ex+1...
Question 5. Find the following indefinite integrals: 1. fre'de 4. .Js 3.f x In x dx 6.[(x+5) Ževæ#5dx 2. f x sin 8x dx -5 (1 + In x) sin(x Inx) dx Sin2x sin x cos x dx 5. 7. 5 2x(x2 + 4)5dx 8. dx
2. Evaluate the following integrals. (a) [5 marks] | el cos 4xdx -1 x (b) [5 marks] / cosdx -x³+3x²-x- dr. 1dx (c) [10 marks] (п -3)(12+2) 4 (d) [5 marks]/ dx V4-5x-2x2 dx cosh x-sinh x (e) [5 marks]] (Give the final answer in terms of e.)
1. Compute the following integrals. (a) [6pts] | Vi Ina de (b) (ópts/ tan” x sec x dx dx (0) [10pts) / vz2+1 х 5.x2 - x + 2 (a) [10pts] / dx x3 + x (e) [6pts] dx 1 (6) (6pts | e-</2 dx
F) 3w-5 w-25 (2) Which of the following definite integrals cannot be evaluated using the Fundamental Theorem of Calculus? (This has nothing to do with being able to find an antiderivative), D) S B) sin() In(x) dx (C) x tan(x) dx A) dr dx 1+e In(x2 +1) dx sin(® dx\ (G) J V+ sin H) F) 2 dx o )u xb [(x)1-(x)ul, 3 x+1dx be evaluated using the FTOC ? C) F) 3w-5 w-25 (2) Which of the following definite...
Question 2 (Learning Outcome 2) 0 S (*x+3) dx S A) Evaluate the following integrals. 4x+7 2x+5) 5x2–2x+3 (ii) dx (x2+1)(x-1) x2+x+2 (iii) S3x3 –x2+3x+1 dx dx (x+1)V-x-2x In (x) dx (iv) S x2 X+1 (vi) S dx (1+x2) (vii) S dx x(x+Inx) (viii) Stancos x) dx (ix) 30 Sin3 e*(1 + e*)1/2 dx dx 2 sin x cos x (x) S B) Find the length of an arc of the curve y =*+ *from x = 1 to x...
1. Evaluate each of the following indefinite integrals. 6 Idx b. S [2 cost – 5 sin t]dt x*- x -dx c. d. I cotx sec?x dx
please help and ill give good rating 2. Compute the following integrals: OO 1 da δ('-1) 1 2 (a) dx 8 (x2) sin(a) (b) dx 8"(x -5) nx (c) 88
3. Using the graph off compute the definite integrals (use known geometric formulas). 2 4 (n) (2) de (w) | sle)dr = S $12)de - [ Педаг . (e) 4. Using the graph of g compute the definite integrals. area 3 arca-6 6 7 5 area (b) (a) [*ola) dr = 9(x) dx = (c) (a)dx (d) (Circle one) ne) . 9(1) dr = positive / negative / zero 2
Question 2 please 1 and 2, determine whether or not the integral is In exercises improper. If it is improper, explain why 12. (a) 12 x-2/5 dx 「x-2/5 dx 「x2/5 dx (b) (c) I. (a) 0 13. (a 40 1 dx 2 x 14. (a In exercises 3-18, determine whether the integral converges or diverges. Find the value of the integral if it converges. 15. (a (b)人1x-4/3 dr 3, (a) l.lyMdx (b) x43 dx 16. (a 4. (a) 45 dx...
No 3 putin uhd e integral lound a r the val- 0 VIIl, 81. EXERCISES Compute the curve integrals of the vector field over the indicated curves. (x,y)=(x2-2xy,y2-2xy) along the, parabola y=x2 from (-2,4) to 2. 0x, y, xz - y) over the line segment from (0,0, 0) to (1, 2, 4), 3, Let r (x2 y2)1/2 Let F(X)-X. Find the integral of F over the circle of radius 2, taken in counterclock wise direction. 4. Let C be a...