Evaluate the integral. 6)e¯X dx

Q: r? + I dx

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: Evaluate the.integral (x+y+2 dz olyde

A: Evaluate the given integral as follows. ∫01∫01∫01x2+y2+z2 dz dy dx=∫01∫01∫01x2+y2+z2 dz dy…

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

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Q: Evaluate the improper integral -dy dx as an iterated integral. 2 e -x The value is (Type a…

A: We need to calculate improper double integral

Q: 21. Given the integral [ cot³x csc ³x dx. If u = cscx, then the integral can be re - written as:

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Q: b) Evaluate the integral by parts. S, x* Inx dx

A: given I= ∫1ex4 ln x dxby using LIATE rule we can rewrite integral as    I= ∫1e ln x   (x4) dx     =…

Q: Evaluate the integral.

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Q: Evaluate the integral.

A: Recall

Q: 3. Evaluate the following integrals: sec x dx b) S- VIn(secx+tan x)

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Q: r dr Evaluate the improper integral by using a suitable substitution. 4 + 49

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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: a In x dx for the integral to be equal to 2 What should a be in O e? 0. 1 o 1 Ое

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Q: Evaluate the improper integral dy dx as an iterated integral. 3 8. The value is (Type a simplified…

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Q: The improper integral o be +25 da Select one:

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Q: Which is NOT included in evaluating the integral? 2 + Vx) dx а. dx

A: The answer of the following questions is given below...

Q: Find the area between x = y^2 - 4, y = e^x

A: To find - area

Q: Express the integral in terms of the variable u, but do not evaluate it. rel6 In x - dx; u = In x e9…

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Q: W Evaluate the following integral : or (Nx) dx

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Q: V{hich one of the following integrals represents the area enclosed by y = 6x + 7 and y = x² between…

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Q: r Evalua te the Integral

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Q: y'e* P.

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Q: S ** dx : Evaluate the integral using the following values. 9. 9. dx = 4 6 х dx %3D 320, х dx %3D…

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Q: Which one of the following integrals represents the area enclosed by the curves y 1 and y = 2 – x².

A: Equate both curves for intersection point, then equate the integral.

Q: rect answer to evaluate the following integral dx 1 I (1 – x4)Z

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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: E Evaluate the integral by integrating the equivalent reversed order : 14 ex dydx 1 e

A: I hope that the given solution will help you . Thank you. Best regards.

Q: 3. Find the area bounded by the curve 2x? + 4x + y = 0 and y = 2x. Answer: sq. u.

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Q: raluate [[- dxdydz the integral being extended to the positive octant of the V1-x-y-z? here x? +y…

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Q: 4. Find the area of the region bounded by y = sin x and y = sin? x between a = 0 and a =

A: The region bounded by y=sinx and y=sin2x between x=0 and x=π2 Note:    Multiple questions are given,…

Q: Evaluate the integral x(x – 5)7/2 dx by making the substitution u = x – 5.

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Q: 3. Using the Trapezoid and Simpson's rules, solve the integral below: = (x In xdx a. 0,8 b. I=…

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Q: Which of the following is the integral that gives the area of the region outside the circle r=6sin 0…

A: The process of integration can be used to find the area under the curve. The integration within…

Q: Evaluate the integral. In(x) dx NOTE: Enter the exact answer.

A: Topic  = Integration

Q: Which of the following integrals is equal to the integral / s(3x- 5) dr? S' f(2) dz (2) dz 7/3 s(2)…

A: By method of substitution, we need to evaluate :

Q: Q: Find the area of the following by using integral for x-axis Y dx where y =(ea+ea) and x, = a , x2…

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Q: Express the integral in terms of the variable u, but do not evaluate it. ell In x dr; = In x e10 ell…

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Q: r+∞ e dx - dx x ln x

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Q: Q: Find the area of the following by using integral for x-axis SI Y dx where y = (ea+ e a) and x, =…

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Q: S. The integral dx is improper integral. True O False

A: Given: ∫01xxdx

Q: Which of the following integrals is equal to the integral s(2) dz 7/3 s(2) dz 7/3 I s(:) dz 2 -2

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Q: Which of the following integrals is equal to the integral / f(3x– 5) dr? f(2) dz 3 B dz 7/3 © "(e)…

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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 integral. dx + C

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Q: x+y dydx Evaluate the integral x? +y?

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Q: 5. Which integral requires more work to evaluate? sin“ x cos“ x dx 798 sın x cos x dx or Explain…

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Q: a) Use the Simpson's rule to approximate the following integral S x² Inx dx.where n= 6

A: As per our guideline we are supposed to answer only 1st question if multiple questions are given,…

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: Which of the following integrals is equal to the integral / s(3x-5) dr? A f(2) dz 7/3 B | s(2) dz 2…

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Q: Which of the following is the integral that gives the area of the region inside the cardioid r=…

A: Given that, The graph of this cardioid and the circle is:

Q: ind the area bounded by y = sinx - e*, the x-axis and the lines x = HT onfe 10 7 juo 44 KI4 x = ².…

A: This question is based on definite integral.