Given line integral:   Select one: A. -3 B. -3/2 C. -2/3 D. None of the above

Q: I don't understnd this

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Q: For the integral xe2x) dx what is u? Note: no space between symbols in your answer

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Q: Complete the table by identifying u and du for the integral. "(x) u = g(x) du = g'(x) dx | (tan(x))7…

A: ∫fgxg'xdx u=gx du=g'xdx ∫tanx7secx2dx u= du=

Q: Use the substitution formula to evaluate the integral. S'ia dx (Hint: simplify first) 1 2 11 22

A: Solve the following

Q: ** Using the substitution y=x, the integral eln24 evx dx is the same as or equal to

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Evaluate the integral. 17 dx 2 Vx² – 1 - NOTE: Enter the exact, fully simplified answer.

A: Let's find.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9e dx 1+e2=…

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Q: Find the value of "k" for which the line integral 1+ky? 1+ kx? dy taken č [a+ xy)? (1+xy)? (1+ xy)?…

A: We will find out the required value.

Q: Consider the triple integral I - f L, S dzdydx. The value of I is:

A: In this we have to integrate this triple integral problem three times with respect to z, y & x

Q: Use a change of variables to evaluate the following integral. sec 25w tan 25w dw What is the best…

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Q: Choose five other iterated integrals that are equal to the given iterated integral. r2 f(х, у, 2) dz…

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Q: Evaluate the integral given. sec(2a)tan(2a)dx +C %3D

A: ∫ sec(x)tan(x) dx =sec(x)+C

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) 1 9…

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

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Q: Can you help with this problem step by step?

A: Take out the 9 , because it is constant. Integration of sec^2 x is tanx

Q: Evaluate 6z dV where E is the region below 4x + y + 2z = 10 in the first octant. E

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Q: dy yV3 + (In y)²

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Q: Supply the missing integrand and the limits of integration n/2 2sin e r cos?e dr de = | _de 2sin e…

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Q: Complete the table by identifying u and du for the integral. u = g(x) du = g'(x) dx | (tan(x))5…

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Q: Area = 3 Area = 3- %3| 9. d a Area = 10

A: As per given information: ∫abfxdx=10 And : ∫bcfxdx=3

Q: Evaluate the integral. Express answer as both exact and using 2-decimal places. • T X 4 S 2cos X…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 19e" dx 1+…

A: Please see the answer below.

Q: (STス)ス3da

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Q: Calculate the integral a dæ. ce O it diverges 1/2

A: From the given data:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. J (10a4 + 9)"…

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Q: L? + 1)? dx evaluate the Cauchy principal value of the given improper integral. x? (x² + dx 1)?

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Q: 1 Replace the letter A in the integral Ae*+ +3,2 dx so that the integral evaluates to + C. A =…

A: Given: ∫Ae6x3+3x2dx=12e6x3+3x2+C To Find: The value of A. Concept: ∫exdx=ex+c

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [e³ 34x dx =…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4 dx = +C (1…

A: Given:         ∫41-2x6dx     =4∫11-2x6dx substitute u=1-2x→dudx=-2             dx=-12du…

Q: Find the following indefinte integrals (most general antiderivatives): a. Integral sign…

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Q: Let a > 3 be a fixed number. Evaluate the following improper integral -3)² dx

A: Given improper integral ∫a∞1x-32dx

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A: According to question, Given integral,Let I = ∫e3xdx

Q: Evaluate the given indefinite integral. Indicate u, n, and du. [5lan2P etan 28 sec² 2 Bd ß

A: Let I=∫5tan2βetan2βsec22β dβ

Q: Given the integral: fcos-¹ 1 x dx

A: Given :    Integral : cos-1(x) dx

Q: Which integral represents the length of the graph of y = In. I over the interval 1, 2]: Select one:…

A: We can the application of integration in order to solve the given problem.

Q: 2. 6 t) Evaluate the integral (3+ v25 - r2 ) dr in terms of area. Draw a picture to represent the…

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Q: Use a double integral to find the area of the shaded region. 51n T/2 10 r = 5 + 5 cos 0 -5 5 10

A: We need to find area of the shaded region.

Q: A/2 15 10 r=7+7 cos 0 -5 5 5 10 15 - 10 15

A: The graph of the curve is given by To evaluate: The area of the shaded region.

Q: Evaluate the integral: 1. Jcsc x (сos? х — 1)dx 2. S(sec2 x + csc² x) cos? x dx 3. S(wew² + w²ew³)…

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Q: Complete the table by identifying u and du for the integral. u = g(x) du = g'(x) dx | (tan(x))5…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The integral of * x? dx is (x2+4)(x2+9) In(x? + 4) + In(x? + 9) + C Option 1 Option 2 -tan () + tan…

A: Given:     ∫x2dxx2+4x2+9 Perform partial fraction decomposition:     =∫95x2+9-45x2+4dx…

Q: Evaluate the integrals .SiPi+7 j+(t+1)k] 4 S (sinti+(1+cost)j] -a4

A: In the given question, we have to find the integral of  ∫01[t3i+7j+(t+1)k] ∫-π4π4[sinti+(1+cost)j]

Q: Evaluate the integral (use the substitution) : 2x + 6 x2 + 6x + 13 dx а. In (x + 6x + 13) + C b. 1…

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Q: Evaluate the integral: 3 I= S (³ + 6) [8 (t) + 135 (t – 1)] dt. . -1 Express your answer using three…

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Q: et dx using the substitution u = Evaluate the integral 17 + e*. 17+ ex

A: To evaluate the integral: ∫ex17+exdx. Solution: Le substitute u=17+ex. Differentiating both sides,…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 12e 1 + ²x |…

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Q: Evaluate the integral. 17xe dx +C %3D ENOTE: Enter the exact answer.

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Q: Evaluate the following line integral along the curve C. X -ds, where C is the line segment from…

A: Explained below