Evaluate the integral. (Use C for the constant of integration.) dt t4 + 10

Q: Evaluate the integral. (Use C for the constant of integration.) t3 dt V1- t8

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Q: please answer the question and show all of your work

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Q: Solve the integral. dx 9. J Ta – x)(b – x)

A: The given integral is, ∫dxa-xb-x To solve the given integral, we use the partial fraction,…

Q: Evaluate the integral. (Use C for the constant of integration.) dt 1- t10

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Q: Evaluate the integral. (Use C for the constant of integration.) t dt + 10

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Q: Q2/ Evaluate the integral: 6. xe' dy dx by changing the order of integration.

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Q: First make a substitution and then use integration byparts to evaluate the integral.   ∫t3 e-t2 dt

A: The given integral is Apply substitution method So, the integral is

Q: (a) Change the order of integration and hence evaluate fo M*(ry)dydx.

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) -6x…

A: To evaluate the integral by making the given substitution. ∫e-6x dx, u = -6x

Q: Evaluate the integral. (Use C for the constant of integration.) Зx In(x) dx ,2 -36

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) 1 9…

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Q: 3. Reverse the order of integration in S(2xy + 1)dxdy and then evaluate.

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

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Q: Vi (1 + t) dt

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Q: Evaluate the integral. (Use C for the constant of integration.) xp x + C 9

A: Here we will use the formula of integration.   We know,  integration of Xn dx = Xn+1 /  (n+1 ) + C…

Q: Find the integral. (Use C for the constant of integration.) t (294 - t2)3/2 dt

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Q: Evaluate the integral. (Use C for the constant of integration.) 1000e p000.1x dx

A: please see the explanation below

Q: Evaluate the integral. (Use C for the constant of integration.) t3 In(t) dt C must be in capital…

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Q: how to solve problem in photo attached

A: Substitute x = t2 in the given integral and so the limit varies pi/2 to pi.

Q: -1 0 -t³+1 2 3+² e dt

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Q: Find the following double integration? x² y dx

A: Double integration problem....

Q: Q2: Evaluate the following integral (Integration by parte ) [xlnx dx.

A: Here we use by parts integration.

Q: Evaluate the integral. (Use C for the constant of integration. 9r15-r8 e

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Q: Find the integral. (Use C for the constant of integration.) (t + 3)cos t2 + 6t) dt

A: Consider t + 3 as u. Then,

Q: Q3: Reduce the integral Sx³J2(x) dx to integration in terms of Jo(x)

A: To find - Reduce the integral ∫x3J2x dx to integration in terms of J0x.       Formula used - Bessel…

Q: Find the indefinite integral. (Use c for the constant of integration.) 4t³i + 12tj – 9VEK) dt

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Q: Evaluate the integral. (Use C for the constant of integration.) pA In(t) dt * Ince) C must be in…

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Q: Find formulas for the functions represented by the integrals.

A: Find formula for the function represented by the given integral: ∫1x2 t dt

Q: Evaluate the integral. (Use C for the constant of integration.) dx x² + 9 2+9 n(x+ Vx² + 9 ) +C ×

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Q: Evaluate the integral. (Use C for the constant of integration.) fa.5* + 9*) dk (1.5× + 9*) dx

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

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Q: / Va2 – 1 ¢2 – 1 dx

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Q: 6. Change the order of integration and evaluate the integral y+1 у? dxdy -1 Vy+1

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Q: (1+ 1)? dt =D t3

A: Given : ∫1+t2t3dt

Q: 3. Reverse the order of integration in (2xy + 1)dxdy and then evaluate.

A: Explained below

Q: Find the indefinite integral. (Use c for the constant of integration.) (t²i + 7tj + 12t³k) dt

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Q: 6. Change the order of integration and evaluate the integral (**2y+1 dxdy. r+1

A: ∫01∫0y+4 (2y +1)dxdy/(x +1) now change the order of integration ∫0y+4∫01(2y +1)dydx/(x +1) ∫0y+4[(y2…

Q: 3 a) Change the order of integration and evaluate: | | dr dy 0 0

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Q: 2. Reverse the order of integration and then evaluate. So S, x² sin(xy)dxdy а.

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: u=7+x4  .........equation (i)differentiate wrt x on both side dudx=4x3du=4x3dxdu4=x3dx…

Q: Evaluate the integral. dx + C

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: Evaluate the integral. (Use C for the constant of integration.) t5 In(t) dt

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Q: elx) dx dy

A: We have to find the integral by reverse the order…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) |…

A: ∫x2 x3+7 dx -1u=x3+7du=3x2dxdx=du3x2

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt…

A: To find: The integral ∫dt1-7t6. Formula used: Power rule of integration: ∫xndx=xn+1n+1+C

Q: Evaluate the integral. (Use C for the constant of integration.) / G 6.9 + +0.5 +0.5 5ex dx 6 -

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Q: Evaluate the integral. (Use C for the constant of integration.) x³ + 9x² + 2x + 9 dx T Tx? + 1)(x² +…

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Q: Evaluate the integral. (Use C for the constant of integration.) e30 sin(90) d0

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Q: Use integration by parts to find the integral. (Use C for the constant of integration.

A: It is required to solve the integration by parts: