FInd the Inderinite integral and check your result by dlifrerentiation. (Use C for the constant of Integration dx 6Vx

Q: Use integration tables to find or evaluate the integral.

A: Given: ∫01x1+ex2dx

Q: (2x- 1) dx x2 - 15x + 56

A:

Q: Evaluate the integral. (Use C for the constant of integration.) dx 81 - x2

A:

Q: Evaluate the integral. (Use C for the constant of integration.) x5 dx

A:

Q: Use integration by parts to find the indefinite integral.

A: Integration is the process of finding the anti-derivative function of the given function. The…

Q: Find the indefinite integral. (Use C for the constant of integration.) 8 cosh(Vx)

A: ∫8coshxxdxlet u=x,⇒ du=12xdx

Q: Use integration by parts to find the indefinite integral.

A: We have to evaluate the following integral: int x2 ex/2 dx ; using integration by parts

Q: evaluate the incdesinite integral -5x+3)dx

A: See the details solution below

Q: Express the integral in terms of the variable u, but do not evaluate it. 9x/10 – x2 dx; u = 10 – x?…

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Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx -

A:

Q: Use the trapezoid rule with 4 intervals to approximate .2 am has 10 x dx Then compute the correct…

A:

Q: 10x Selar. 20x dx 1- °

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Q: Evaluate the integral. (Use C for the constant of integration.) +² | dx 81-x²

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Q: Evaluate the integral. (Use C for the constant of integration.) dr

A:

Q: Evaluate the integral. (Use C for the constant of integration.) | (3x5 - x4 + 1) dx

A: The objective is to evaluate the integrals

Q: Evaluate the integrals by using a substitution priorto integration by parts. ∫ln (x + x2) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 6 cosh(Vx) xp

A: The given integral is∫6coshxxdxwe will solve the above integral using substitution method.

Q: Evaluate the integral by reversing the order of integration. dx dy

A:

Q: 2 -y2 dydx e 0. 2x

A: The answer is given as follows:

Q: Evaluate the integral. (Use C for the constant of integration.) x + 21 dx x + 20x + 104

A: Consider the provided integral, ∫x+21x2+20x+104dx Evaluate the provided integral. Apply the…

Q: Express the integral in terms of the variable u, but do not evaluat 3x/25 – x2 dx; u = 25 – x? NOTE:…

A:

Q: 3 +1 dr dy

A: Given integration is  I=∫01∫y1x3+1 dx dy Limits are given y=0 and y=1x=y and x=1

Q: Use integration by parts to evaluate the integral. ∫425 √x lnx dx

A: The integral is given by

Q: Find the indefinite integral. (Use C for the constant of integration.) Vtan(7x) sec2(7x) dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) √3x√1- 3x√ 1 - x4 dx

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Q: Use Simpson's Rule with n = 4 steps to estimate the integral. 42) | 7 dx 1+X

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Q: Evaluate the integral. (Use C for the constant of integration.) 5xV1 - x4 dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 cosh(Vx) xp

A:

Q: Evaluate the integral ∫−10(x−9)(x+5)(x−2)dx∫−10(x−9)(x+5)(x−2)dx   Note: Use an upper-case "C" for…

A: Integral is done by doing partial fraction first

Q: Find the indefinite integral. (Use C for the constant of integration.) |Vtan(8x) sec²(8x) dx

A:

Q: Evaluate the integrals by using a substitution priorto integration by parts. ∫sin (ln x) dx

A: Given: I=∫sinlnxdx for evaluating given integral, we substitute lnx=t…

Q: Find the indefinite integral. (Use C for the constant of integration.) | cosh(5x) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 6 cosh(Vx)

A:

Q: S In(x) x³ dx

A:

Q: Use the Special Integration Formulas to find the indefinite integral. ∫√(5x2 − 1) dx

A: Given:

Q: Find the indefinite integral. (Use C for the constant of integration.) 6 cosh(Vx) dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) x-5 dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 8 + x dx 8 -

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Q: Evaluate the integral. Use C for the constant of integration. 4dx

A: Given integral is- I=∫4dx9x3 It can be written as- I=49∫1x3dx=49∫1x32dx=49∫x-32dx

Q: Find the indefinite integral. (Use C for the constant of integration.) 3 cosh(Vx) dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) cosh(8x) dx

A: We have to find the indefinite integral ∫cosh8x dx.

Q: Evaluate the integral. ( Use C for the constant of integration. )

A: The given integral is ∫x+21x2+20x+104dx. Evaluate as follows.

Q: Find the indefinite integral. (Use C for the constant of integration.) 2 cosh(Vx) dx

A:

Q: ) dx

A:

Q: Evaluate the integral by reversing the order of integration. 12 3y Ар хр

A: Solution is given below :

Q: Evaluate the integral. (Use C for the constant of integration.) (3x5 + 1) dx

A: see 2nd step.

Q: Find the indefinite integral by using substitution followed by integration by parts. ∫x5ex2 dx

A: Given: ∫x5ex2dx

Q: Evaluate the integral. (Use C for the constant of integration.) 6x2 + 8x + 3) dx

A: ∫16x3-6x2+8x+3 dx

Q: Evaluate the integral. (Use C for the constant of integration.) | VER-X² dx 81 x

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: