Evaluate the following indefinite and definite integrals. Give exact answers, i.e. VT, not 1.77., etc. you must state explicitly any substitutions used. 8. (x² – Vĩ+4) dx

Q: Evaluate the definite integral from e^49 to e^81 ([e^49,e^81]) of the equation dx/xsquareroot of lnx

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Q: b) S 4x/8 – xdx

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Q: (Inºx– 3lnx) *dx

A: Given that∫ln6x-3lnx4x dxSolution :let…

Q: Evaluate the following indefinite integral. Do not include +C in the answer. 3 dx

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Q: Evaluate the following indefinite integral. Use C for any constant of integration. 56 dx x2 – 49

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Q: dx When evaluating the definite integral / Te why must you 16 – x2" choose the antiderivative–coth…

A: Given:              ∫68dx16-x2 why must you choose the antiderivative 14coth-1x4 rather than…

Q: Evaluate the following definite and indefinite integrals (if they exist). Show all of your work for…

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Q: Solve the following indefinite integrals, using substitution or integration by parts where needed 10…

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Q: Evaluate the following indefinite and definite integrals: S(x' +e* )dx

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Q: Evaluate the following indefinite integral. Use C for any constant of integration. da dæ x4/16x² –…

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Q: dx

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Q: In the following equation/s, find the indefinite integral :- see the equation as attached here

A: solution:- Finding indefinite integral:-  an antiderivative of a function f is a function F whose…

Q: Solve the following integrals with detailed steps: dx а. x²/4+x2

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Ja* dx

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Q: Use an appropriate u-substitution to find the exact value (no calculator) of the following definite…

A: we need to substitute appropriate u to find the value of given integral. also we know: ∫ xn dx =…

Q: Evaluate the definite integral given below. 7 dx 16+16x? Enter your answer in exact form.

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Q: 6. [" y/y' +36 dy

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Evaluate the following definite and indefinite integrals. V6 (a) da V3+1 (b) / da V3 – r2 (c) x* +x…

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Q: e* dx ex 11

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Refer to the definite integral to answer the following questions 3 1² (2²) (x²) dx

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Q: Inx dx where x>0. 1

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Q: Complete the following integral involving infinity. You will need to use Substitution method in…

A: We need to evaluate the integral

Q: Evaluate the following indefinite integrals. You do not need to simplify your answers. i. SG +…

A: Given indefinite integral is ∫2x+6 sin 3x-e5+12x3dx We need to solve the integral Needed formulae:…

Q: S6x-7)(x-3)dx - 3)d 1.

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Q: (b) S, æ²2" dx = (c) S{(In(2))²dx =

A: Use integration by parts to evaluate the given integral ∫fg'=fg-∫f'gf=x2 and g'=2x ⇒g=2xln2…

Q: 2 dx 2 4 + x?

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Q: (a) So x²e*dx %3D (b) S a²2"dx = «0) f{(In(z))*dz = |

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Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

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Q: 7/4 A (sint + cost)dt

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Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

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Q: Use a change of variables or the table to evaluate the following definite integral. 15 e 3x dx

A: Given integral is ∫0315e3xdx Substitute 3x=y ⇒3dx=dy⇒dx=dy3 And limit of integration will be change…

Q: 7) Se3 V1+ e3xdx

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Q: b) f6xæ**dx 4 cosht)dt

A: We have to find the integrals.

Q: Which of the following definite integrals has the greatest value? (A Зах -2 B 2 dx xdx .3 2xdx

A: Given : A∫-223dxB∫152dxC∫04xdxD∫032xdx

Q: cln 27 et + e- d.x x=ln 13 et - e-

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx 2. x²/4-x?

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx dx 2. xV4-x?

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Q: Evaluate each of the following indefinite integrals using substitution, expressing your final answer…

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Q: 1. Find the following indefinite integrals. 1 (а) xp /3 – x²

A: We can find the integrations as below

Q: 2. Find the following definite and indefinite integrals. Use Substitution when needed a) f…

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Q: Match the definite integral to the correct evaluation. 9. S12/xdx 4 9. 180 xp- A. 152 4 В. 340 С. 25…

A: TO FIND THE FOLLOWING DEFINITE INTEGRAL 1 ∫4912X dx 2 ∫4  9 180x2 dx 3 ∫056x2+10x-7 dx 4…

Q: 3. Evaluate the following definite integrals using a change of variables. а. sin(2x) dx b. xVx+1 dx…

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Q: B) S 12 sec 3x tan 3x dx

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Q: [sin x dx

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Q: +1 dx x+1 10.

A: As we know that the power rule: ∫xndx=xn+1n+1+C ; n≠-1 From the given problem: I=∫01x3+1x+1dx

Q: Use a change of variables to evaluate the following definite integral. 6 S- dp /64 + p² 6 p | (Type…

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Q: Refer to the definite integral to answer the following questions: 4 [*(16-x²) dx

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Find the following indefinite integrals: 243 dr (a) 192 (b) S(V= - 2") dz

A: here we have to solve , a) ∫x2+3x3+9xdx b) ∫x53-2xdx

Q: Evaluate the definite integral.

A: Given:∫-12 10e2x25 + e4x dxFormula:∫dxx2+a2 =1a tan-1xa +C