Evaluate the folowing indefinite integral. 1 dx 5 2x dx = 2x = xp (Use C as the arbitrary constant.)

Q: Evaluate the indefinite integral given below using the indicated substitution. 1-20 -2(-2x + 9)³ dx…

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Q: Evaluate the integral. xe dx NOTE: Enter the eract answer.

A: Find your answer below

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: e the integral, 1 x2 dx (3 + 4x – 4x²)/½

A: Given integral, ∫01x23+4x-4x232dx Find the value of the integral in the following.

Q: Complete the trig substitution to achieve an integral involving trig functions of 0. Stop here; do…

A: We have to complete the trigonometric substitution. For this we can put x=2sec(thita)

Q: r3 ex dx = e3 – e '3 Use the properties of integrals and | (2ex – 2) dx to evaluate

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Q: Use substitution to find the indefinite integral.

A: Substitute u=9x2+18x,du=18x+18.

Q: Find the general indefinite integral. (Use C for the constant of integration.) (u + 6)(4u + 7) du

A: Answer of given question is following below

Q: Evaluate the integral. 1 -dx J-3 (x + 6)(x² + 9) Answer:

A: Ans = 0.07456 First do the partial fraction so that it can be integrate simply as I have done in…

Q: e1/x dx -2 X'

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Q: Find the indefinite integrals: (a) S dx x+1 + C. (b) S da = 23 x2+1 =

A: SOLUTION-

Q: Find the general indefinite integral. (Use C for the constant of integration.) |(u + 5)(8u + 5) du

A: First we expand the expression ∫(u+5)(8u+5)du=∫8u2+5u+40u+25du=∫8u2+45u+25du

Q: Express the integral in terms of the variable u, but do not evaluate it. dx; и — 5х — 4 NOTE: Enter…

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Q: Evaluate x +1)?dx = [{(x+ 1}dx+ f{(x+ 1}°dx %3D

A: To evaluate: ∫13x+12dx=∫12x+12dx+∫23x+12dx Property: ∫abfxdx=∫acfxdx+∫cbfxdxwhere a<c<b

Q: Find the general indefinite integral. (Use C for the constant of integration.) 2(1 + tan?(a)) da 2…

A: We will solve this problem in following steps

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. dy dx - x²

A: NOTE: Refresh your page if you can't see any equations. .

Q: Evaluate the indefinite integral. 1x - 3 dx J (læ2 – 6x + 4)3 Answer = +C

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Q: Evaluate (x + 1)*dx = [(x+1)*dz + f{ (x + 1)*dx

A: Given Problem:- Evaluate ∫13x+12dx

Q: Evaluate the integral. NOTE: Enter the exact answer. Ty dy dx =

A: Given, Integral , I=∫01∫x2x xy3dy dx To find : Value of Integral

Q: Suppose we make the substitution u=2+x in the indefinite integral da. What is the resulting…

A: Given Data: Integrand: ∫x42+x5dx Substitution: u=2+x5 ......1 Use derivative to obtained another…

Q: dx a proper or improper integral? Why? (x-3)? .3 Is So 1

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Q: (뚜 - 굶) da 3x Evaluate the integral J (* – 3) dx.

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Q: Evaluate the integral. x? + x + 1 dx (x² + 1)?

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Q: (In(z))" onsider the indefinite integral dz: his can be transformed into a basic integral by letting…

A: we have to solve the problem

Q: 2) Evaluate the integral and check your answer by differentiating. dx b) Jx"(2-x)° dx

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Q: 1 (h) | (4a2 +9)² dx (1) / 22 — а? dx

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Q: Use substitution to find the indefinite integral

A: Given ∫1xlnxdx

Q: беба Consider the indefinite integral /- dx: (ebz + 2)° This can be transformed into a basic…

A: Substitution is used to make the complex integral easy.

Q: dx The integral can be rewritten as 1- x

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Q: II 13 Calculate the integral, assuming that " g(x) dx = 9. (Give your answer as a whole or exact…

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Q: dx: Consider the indefinite integral e* +4

A: We have to evaluate the integration by substitution.

Q: zv Evaluate the following indefinite integral using Substitution: V4.x2 + 4 dx

A: Given query is to eveluate the integral.

Q: dx The integral can be rewritten as 1-x

A: Given that the integral  ∫-∞0dx1-x We can write this integral  limx→-∞∫s0dx1-x

Q: (a) Evaluate the following indefinite integrals: (i) 10 (ii) fx³ Vx-1 dx 2 -Vy - 3 Vy 4

A: Evaluate:

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

A: Topic  = Integration

Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx

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Q: Find the general indefinite integral. (Use C for the constant of integration. 8 6u4 – u2 + du 5. u5

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Q: Use u-substitution to evaluate the following indefinite integrals. Giv your final answer in terms of…

A: see 2nd step

Q: Use the substitution u =x +3 to evaluate the indefinite integral below. dx

A: Given Data: Integrand: ∫2xx2+35dx Substitution: u=x2+3 ......1 The derivative of equation (1) with…

Q: Use the substitution u =x + 1 to evaluate the indefinite integral below. 5 1) dx Write the integrand…

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Q: dx. ot Find the indefinite integral x4 = xp

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Q: Consider the indefinite integral a3. Vx* + 5 dx: This can be transformed into a basic integral by…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (u + 9)(5u + 6) du

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Q: 2 dx. x? +1 34. Evaluate the improper integral

A: Use limit method

Q: Evaluate the integral if it exists. dx Select the correct answer. 1 1) x- 2 lnx-+ C 2) 2- Inx+ C 3)…

A: We use identity  (a-b)2= a2+b2-2ab in numerator of integral

Q: Perform the substitution u = 21 + 1 to evaluate the indefinite integral 14e+ dt. Use Cfor the…

A: To evaluate:∫ 14e2t+1dt

Q: Evaluate the integral. NOTE: Enter the exact answer. 1 xy10 dy dx x2

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Q: Use the Method of Substitution to find the indefinite integrals: t3et“ dt dx x VIn x

A: The given integral,a) ∫t3 et4 dtb) ∫9xln x4dx