is this correct ? point which of the following is equal to the integral w+) +...
9. Which integral below is equal to the following integral? S sode -, f(x)dx (#jar + Sardor А. В. e-freы. оf ths- f(x)dx D. B ОООО по ооо с D
(1 point) Calculate the integral below by partial fractions and by using the indicated substitution. Be sure that you can show how the results you obtain are the same. 1. 2x - dx 1 x² – 64 +C. First, rewrite this with partial fractions: I ZX64 dx = | dx + dx = (Note that you should not include the +C in your entered answer, as it has been provided at the end of the expression.) Next, use the substitution...
Verify that the line integral and the surface integral of Stokes Theorem are equal far the following vector field, surface S, and closed curve C. Assume that C has counterlockwise orientation and S has a consistentorientation F = 〈y,-x, 11), s is the upper half of the sphere x2 + y2 +22-1 and C is the circle x2 + y2-1 in the xy-plane Construct the line integral of Stokes' Theorem using the parameterization r(t)= 〈cost, sint, O. for 0 sts2r...
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...
Question 1 (1 point) Determine the following definite integral 2 4x3 + 28x5 + 36 dx x2 1 Question 2 (1 point) A particle has velocity function given by v(t) = 64-192. Determine the total distance traveled over the interval [0.7]. Do not include units in your answer. Question 3 (1 point) Suppose g(3) = 5 and g'(3) = 26. Determine the derivative F'(3), where r9(30) F(x) = La Red 4 1 + t2 dt.
Find the following indefinite integral: 122* •2x² + 7x-3 -dx X-2 Find the following indefinite integral: ( (sec(2x) 2x) + tan(2x))dx
Question 8 (1 point) Which of the following sets is equal to {1,3}? o {2x + 1 € Z1-3 < x² < 3} {x² + 1 € Z|XE Z and x < 2} . o {x E N | 2x + 1 <2} o {x? EN|0 < 2x +1 < 3} O None of the above Question 7 (1 point) Let Α = {a, b, c} and consider the equivalence relation R = {(a, 1), (b, b), (c, c), (c,...
(1 point) For each of the following integrals, select an integration technique that could be used to evaluate the integral. The same answer may occur more than once. x-4 dx 2x2 + 3x - 2 1 dx (4 - x2) sinh*(2x) dx l [ sinh | 28#3x-2 2x2 + 3x - 2 dx x2 - 4 Use a substitution u = 2x^2 Use a substitution x = 2sin(t) Use hyperbolic double angle formulae Use hyperbolic identities and a substitution u...
Evaluate the integral. S (2x-1) In(18) dx (x2 – x)In 18x - +x+C 2 + x + C (21-x]ın 18x** 0 (x2 - x)In 18- x2 +x+C 0 (x2-x)in 18x - 2 + 2x +C
2. 10 23 x · [In(x)]2 Jg x+2 In Problems 1-26, evaluate each improper integral, or show why it diverges. po 1 5 1. dx dx 2 3. dx 4. dx 13 1 + x2 5 X 5. dx 6. dx x. In(x) Jo 1 + x2 1 7 dx 8. dx -2 J3 (x - 2)2 1 1 9. dx 10. dx (x - 2) 1 11. dx 12. dx J3 (x+2)3 14 1 1 13. dx 14. dx...