1. Compute the indefinite integrals: A. [4x+ Vx dx 3x+xdx В. B. S*dx

Q: 4. Rewrite the following integral in the order dy dz dx 1-7 f(x, y, z) dx dy dz

A: In this question we have to rewrite the given integral in order of dy dz dx.

Q: 7x2 V2x3 - 1 dx .2.

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Q: 4) Compute the integral where is the closed chrve SRe (z²)dz -2

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Q: Evaluate the integral. 16 In(y) dy Vy

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Q: Consider the integral 7x dæ 1+ x? 00 If the integral is divergent, type an upper-case "D".…

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Q: G.. Evaluate the fallowing real integrals by residue. theerem 3 -bm e 응) co3 mx (x4a?) Cx+b?)

A: This is complex analysis problem, we apply the residue theorem to solve the problem.

Q: To evaluate the integral f(x)dx, , the substitution u='g(x) is used. Thus if g(x) = x+4 then dx =

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Q: Evaluate the double integral of cos(x) with x from 0 to π/4 and y from 4y to π

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Q: Evaluate the integral dx (2x + 11) by making the appropriate substitution: u =

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Q: dx Evaluate the improper integral x(In x)?

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Q: calculate the integral of  integral of 0 to 4 for dt/64t^2+9

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Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: We need to evaluate the integral using the fundamental theorem of calculus:

Q: Use a substitution of the form u = ax +b to evaluate the indefinite integral belov 7x+1 dx 7x+1 dx%=

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Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

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Q: Evaluate the integrals in ∫2y dy/y2 - 25

A: Given integral:

Q: Evaluate the indefinite integral r cos rdr %3D + C

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Q: 2. Evaluate the integral by interpreting it in terms of areas. . V25 – x2 dx. .

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Q: Evaluate the derinite Integral. #5 In(x) dx

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Q: Evaluate the integral. dx A) In x4 +c B) In x4? + c c) In x4? +c -(In D) -+c In x4

A: Here we will substitute ln x4 = u to solve this integration.

Q: 3. Evaluate the integrals by interpreting them in terms of areas a) L(1+ v - ) 22 – x2 ) dx, b) 3

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Q: Identify the type of generalized integral +00 fx'e* dx- and in continuity (if converging) to be…

A: According to question,Given Integral,Let I= ∫0+∞ x2ex3 dx

Q: Define the following improper integrals integral - infinity to 0  f(x) dx

A: Given: The improper integrals f(x)dx from limit -infinity to zero.

Q: Evaluate the following iterated integral. l-x-y 3 dz dy dx 1-x cl-x-y

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Q: Apply Green's Theoren to evaluate the integral. C6x+y) dx + (3xy"+4y) dy ter

A: Given integration is ∮c(6x+y3)dx+(3xy2+4y)dy C : Any simple curve in the plane for which Green's…

Q: St³ In t dt

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Q: Use the specified substitution to find or evaluate the integral.

A: Consider the provided integral, ∫01 dx23-xx+1 Evaluate the provided integral. ∫01…

Q: dx (x + 2)3

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Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Given: ∫192xdx

Q: Evaluate the improper integral A diverges B) 0 с 3 Alu 112²232/3 dx 4

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Q: compute the given approximation to the integral.

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Q: 1.5 x² In x dx

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Q: Define the following improper integrals integral -1 to 0  f(x) dx

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Q: Evaluate the integral of sinº x dx from o to n/2. А. П/32 В. гп/17 С. зп/32 D. 5n/32

A: We know, 2sin2A=1−cos2A  2cos2A=1+cos2A2cosAcosB=cos(A+B)+cos(A−B)

Q: Find the following General Integral | 10 * e2x dx O 5. e2x +C O 10 e3x +C 3 20 - e2x +C O 10 - e2x…

A: ∫eaxdx = eaxa + C,  where 'C' is the constant of integration.

Q: Define the following improper integrals integral - infinity to b f(x) dx

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Q: | 7x2 V2x3 - 1 dx

A: Here the given integration I=∫7x22x3-1dxNow Substitute as2x3-1 =u⇒6x2dx=duThus the integration…

Q: In Vi - dt 3t (b)

A: ln(a)b= b ln(a)

Q: Evaluate the integral of x cos 2x dx with limits form 0 to pi/2. (A) -3/4 B 0.75 C -0.5 D 1/2

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Q: Evaluate the integrals ∫ e4t + 2e2t - et/e2t + 1 dt

A: Consider the following integral:…

Q: Use the Trapezoidal Rule to evaluate the integral S |r| x²dx O 2 O -2 O 1 -1

A: Given Intergral ∫-11xx2dx. We have to find the value of it by using the Trapezoidal Rule. The…

Q: (10x – 3x + 1)dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Here given I=∫012dx1-x2 Since ∫dx1-x2=sin-1x+C

Q: Define the following improper integrals integral -1 to  1 f(x) dx

A: Given integral is,

Q: Evaluate the integral. 7 - x2 | x5y dy

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Q: (e2x –1)2 dx 1. e 2x

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Q: 9. In evaluating the improper integral dx , which of the following is true? (1-3x)2

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Q: Compute the integral | x"dx, with a=1, b=7, and N=5. Answer to three decimals.

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Q: 5, set up the appropriate iterated integrals in rios for I f dV on the indicated domains.

A: Step:-1 Given that  The equation of tetrahedron is z = 4 -2x -y⇒2x + y+z =4 ---(1) so, bounds or…

Q: Evaluate the integral in (7x) -dx. Choose the correct answer below. O A. - In (x) - 16 1 +C 16x* -In…

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Q: Evaluate the integral. Sóx(In x)*dx 2 5x (In x =xp, dx:

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