Express each of the following integrals as a r function. By computer, evaluate numerically both the I' function and the original integral. 10. 11. da Hint: Put z? = u.

Q: Evaluate the following integrals. Check by differentiation. S 3x(x + 2)² dx

A: ∫3xx+22 dx On simplification, we get ∫3xx+22 dx=3∫xx2+4x+4 dx=3∫x3+4x2+4x dx=3x44+4·x33+4·x22+C…

Q: dx 4. S 25 – 16x²

A:

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. S. Ve 3x – 16 3e…

A: Given:  1) ∫3e3xe3x-164dx   substitute u=e3x-16       dudx=3e3x→dx=e-3x3du      =∫1u4du…

Q: Evaluate the following definite integral using substitution rule Só 2x /x² + 2 dx 1.

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 6t dt +1 5.

A:

Q: valuate the indefinite integral. 7 dt (t + 1)?

A: Given query is to eveluate the integral.

Q: 5. Suppose that f(t) is the rate of snowfall t hours after midnight on December 21, measured in r12…

A:

Q: Q16: Compute the following indefinite integral xʻe*dx

A: Please find the solution of questions.

Q: 1+x+x* dx x2

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

Q: Find the indefinite integral. (Use C for the constant of integration.) dt t4 + 1

A:

Q: Ja* dx

A:

Q: Find the following indefinite integrals.

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Q: Q1) Evaluate the following integral using By Parts Method: х.In(x3 + x) dx

A:

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

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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: Evaluate the integrals ∫sech √t tanh √t dt/√t

A: Given, ∫sechttanhttdt We know that,  a.bc=a.bc =∫tanhtsechttdt Substitute the value of   u=t ⇒du=12t…

Q: dt (2 – t4)4

A: Given, ∫-10t3(2-t4)4dt

Q: (4) / VElmz Va In x dx In x dx x2 (e) (f) / 2 In? x dx

A:

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

A:

Q: „ysin ydy 1/2

A:

Q: Q3 - Evaluate the following integrals i. S7 xp V9-x2

A: Use substitution method

Q: 1 (x3+1)2 dx x3 N IM

A: the given integral is I=∫x13+132x23dx

Q: Evaluate the following integral using the Beta function: x5 – 3x6 + 3x7 – x° dx 0,

A: We have given I=∫01x5-3x6+3x7-x8 dx   Beta function: βp, q=∫01xp-11-xq-1 dx  where p>0 and q>0…

Q: Evaluate the following integral using the Beta function: 1 T³ – 3x° + 3x7 – x°dx ,5 8

A: Beta functions are a special type of function, and it is also classified as the first kind of…

Q: Evaluate the following integral along the indicated curve Where c is: y = -x ^ 2 (parameterize it)

A: We will find out the required value.

Q: Evaluate the following definite integrals, t(1 -t)² dt = а.

A: Solution: ∫-11t(1-t)2dt Expand=∫-11t-2t2+t3dt

Q: Find the following indefinite integrals 1. Sx(x² – 2)5 dx

A:

Q: 4 2 - VE dt t2 1

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: I. Evaluate the following integrals. 1. J 1 - coth² (log₂x) dx x cosh (log₂ x)

A:

Q: Express each of the following integrals as a r function. 8. 9. e- dx Hint: Put x* = u.

A: 8 Given integral is ∫0∞x23e−xdx. The Gamma function is define as follows n=∫0∞xn−1e−xdx Now,…

Q: Q2 – Evaluate the following integrals. 1 vi. S7 dx (sinhx+coshx)2

A:

Q: ܐܐ 19. dz 'z(nz5

A: The given definite integral is ∫122 dzzlnz1/5. Solve the definite integral by the substitution…

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

A: Given the integral is∫ln6x-3lnx4dxx evaluate the value of the given integral using integration by…

Q: Evaluate each of the following indefinite integrals. S V2 – 3x dx

A:

Q: g. çdx Vx5 + 1

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: i. Inx dx

A:

Q: Evaluate the following integral. X'e dx

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Q: La) J 21) dx. (2rº+1)

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Evaluate the following indefinite integrals. 1. Jx²dx 2. S(x³ + 2x)dx 3. S(a)dt :a = constant

A: Solving the problem by finding the indefinite integral.

Q: Evaluate the following integral using the Beta function: x³ – 3.x° + 3x7 – x° dx

A: The given integral is: ∫01x5-3x6+3x7-x8 dx Evaluate the integral using Beta function. Beta function:…

Q: Evaluate the following indefinite integral. Show all intermediate steps. fx√x+1 dx

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Q: x² +1 1. х* — 5х+6

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Q: 2 s² +V5 ds 2.1 s2 V3 L(t + 1)(t2 + 4) dt 2.2

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Q: 7. Evaluate the following integral or state that it diverges: Lo xe* dx

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Q: Differentiate the following with respect to the independent variables: .1 y = In|2t + 3| + Int'. .2…

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Q: Evaluate the following integrals 1) § L 8(T – t) (T + 4) dT dt

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: 1. Evaluate the following integral by integration by parts Sxsin "(x)dr -1

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Q: Sx(Vx – 1) dx

A:

Q: Q5: Compute by part the following indefinite integral Sx. In x dx

A: Given  that a integration and we solve it by part. We know that integration of Xn  is -  = Xn+1/n+1.…