I = 1 + (x-a)k dx [x-a

Q: In the given equation/s as follows , find the indefinite integral:-   See the question as attached…

A: Integration means addition it is used for adding continuous function which can't be added by simple…

Q: Verify the value of the definite integral, where n is a positive integer.

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Q: Evaluate the definite integral. (Assume a > 0.) 'al/5 x°Va? - x10 dx

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Q: In the given equation/s as follows , find the indefinite integral:-   See the question as attached…

A: Let x=sin2u. Therefore differentiating both sides: dx=2sinucosu du Substitute x=sin2u in the…

Q: Evaluate the following indefinite integrals. Show all the necessary solutions. 4. Ssin'x cosʻx dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) 5 x/ 25 - (In x)? In(n1) 5…

A: The given integral,∫5x25-ln x2dx

Q: 6 (x²+1) dx S (23+3x-2)²

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Q: e*dx 1+e

A: Given integral,

Q: 7. Į V1- xdx 8. ſ e2x dx

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

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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: Evaluate the following indefinite integral: x dx 1.) S- Vx4 - 1

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Q: Find the indefinite integrals, if possible, using the formulas and techniques.

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

A: The given integral is ∫x2x-1 dx. Evaluate as follows.

Q: 1+x+x* dx x2

A: The given integral is: ∫1+x2+x4x2dx Let, I=∫1+x2+x4x2dx

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

A: Given problem:-

Q: Evaluate the definite integral on the interval [e, e^64] dx / x sqrt{ln(x)

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Q: Evaluate the following indefinite integral. Do not include +C in your answer. -4x5 + xª + x² – 1)dx

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Q: (In x) dx x+1 c) d)

A: Definite integration

Q: - 2 – 3x dx

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Q: For the indefinite integral V14+ x*dx, a good choice for a u-substitution is u = du = After making…

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Q: Find the value of the following integral at x-1 S(x² – 1)(x + 1)

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Q: dx I = е. a² +x²

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Q: Find the following indefinite integrals: 214 (a) 10z +16z da (b) f(V – 3") dr -

A: Integration: a) ∫x3+4x4+16xdxb) ∫(x73-3x)dx ∫(xn)dx=xn+1n+1+c∫axdx=axlogea+c

Q: Evaluate the following integral. Enter an exact answer. •3 4 3 dx x3

A: Topic = Integration As per guidelines , At a time only one question can be answered,

Q: Find the integral of f(x) = e- sinh(x) between 0 and 1.

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Q: S dx х+2

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Q: [2 + s= 1 Lx-a (x-a)k] dx

A: Explanation of the answer is as follows

Q: ~2 .4 x* +1 dx 1 J1

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Q: 1 dx

A: Topic:- integration

Q: Evaluate the following integral between x=-6 and x=5: 4х — 5 dx -

A: This question is based on definite integral.

Q: Find the following indefinite integral. I dx x2 + 9

A: From the given problem:   I=∫xdxx2+9...(1)   Let,   x2+9=t   To differentiate with respect to x.…

Q: Evaluate the given definite integral, if it exist. V4 + 3x dx

A: Given that finite integration and we find its value by using integration formulas. We know that…

Q: Find the indefinite integral. | Vi (e* +t - 1) dt

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Q: Find the indefinite integral of 1/3 e x dx

A: Given indefinite integral is: I=∫13exdx We have to integrate the above with respect to x.

Q: Evaluate the integral or show that it diverges e dx 1+e-x

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Q: Consider the indefinite integral /a Væ* – 4 dæ: . - This can be transformed into a basic integral by…

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Q: x Inx dx .2 4. dx 4-x2 3.

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Q: (Inºx– 3lnx) +dx (A Inx B Inºx © Intx D In x- 3lnx E In x- 3 (F) None

A: The integral is  ∫ln6x-3lnx4xdx

Q: Evaluate the following integrals using Integration of Exponential Functions. 12. dx 13. [ 2** dx

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Q: Evaluate the following indefinite integral, 1 (e&r VI – -)dx x2

A: Given integration is: ∫e2x-x-1x2dx To find the value of integration. ∫eaxdx=eaxa+c∫xndx=xn+1n+1+c,…

Q: Find the indefinite integral. | 6/wdw +C.

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Q: 4 x*dx X-1

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the following indefinite integral: dx r2 +1

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

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Q: Explain why each of the following integrals is improper  integral -infinity to infinity  x2 e -x2 dx

A: Given Data The integral is ꭍ∞-∞ x²e x2 dx   When one of limit or both limit points of integration…

Q: Determine the following indefinite integral. dx |( + x7) dx= O

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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