Question 7 Applying inversion of order to the following integral, the limits of the outermost integral must be So S VI- y? dy da O y to y O 0 to 1 O x to x² O y to vy * Previous

Q: Consider the integral I TU /0 /2y cos(xy) cos y /sin(xy) + 1 dy dx.

A: The given integral  ∫01∫0π2ycosxycosysinxy+1dydx. We have to check Fubini’s theorem is applicable to…

Q: Evaluate the integrals: B:S, S' S'(x² + y² + z²)dz dy dx

A: ∫01∫01∫01x2+y2+z2 dz dy dx

Q: of for the function f(x, y) = ln sin Ôx Find %3D x² +y a. cot x² +y? y² -x² (x² +y*)*. b. cot x² +y?…

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Q: dz "The integral S is a definite integral " 2-4

A: we have to subtitute x = 2 sec u  then find the integral using  ∫Secxdx=|nsecx+tanx

Q: all parts if quesion thanks

A: a. (i) Given,              ∫14x2+9dx

Q: QUESTION 7 Evaluate the integral. 1 Sl xtex?y dx dy 7e49 - 350 3 O e49.1 O e49 350 3 O 7e49.350

A: Evaluate the intregal

Q: -dx x2+x-6 xp* C. 13 D. the integral is diver A. 4 В. 6 A

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Q: 5. We consider a loop defined by y = x² from x= = 0 to x = 1, y = (1+x)/2 from x = 1 to x = 0, and x…

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Q: •5 Evaluate | Vx+ e¤ dx using the midpoint rule with 5 strips, giving your answer to 2 decimal…

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Q: Q1: evaluate the following integrals (choose 3) dx 1-f- dx V2x-x 13- 2x-x +[ (x* +x-2) cos 4xdx tan…

A: We are asked to evaluate the integral.

Q: D. -5 Ar 우 선

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Q: The proper substitution for evaluating the integral dr (6r + a2)3/2 is a. r - 3 = 3 sin y b. - 3 = 3…

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Q: NIX P Ala 3 29 J Evaluate the iterated integral 8 siny dz dx dy 000

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Q: = // F S F.ds Use the integral above where F(x, y,z) is equal to and S is the upper hemisphere of a…

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Q: Q.5 Evaluate the integral with the aid of the formulas 5,6, and 7. dt V9-4t2

A: We have to solve integration .

Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then do u-sub)…

A: The integral is given by I = ∫-∞015x-12dx Formula Used: ∫u-ndu = u-n+1-n+1+C To evaluate: The value…

Q: Directions: For 10 & 11, Evaluate each definite integral by using the antiderivative or geometric…

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Q: Question 13 The value of the line integral using Green's Theorem of 93xydx +5e2xdy on the rectangle…

A: Given that  The line integral is 3xydx+5e^(2x)dy  To evaluate the line integral

Q: Which of the following integrals is not a proper iterated integral? 2)

A: Given that: Integral is not a proper Iterated integral

Q: Which of the tollowing integrals gives the ength of the graph y=18 between X= a and a. a 1X2+X dx b.…

A: We have to find the length of the graph  y=x  between x=a and x=b where  0<a<b.