Find the indefinite integral and check the result by differentiation. (Use C for the constant of integration.) x + 7 dx

Q: Find the indefinite integral. (Use C for the constant of integration.) x - 8 (x + 4)2 - dx + 64

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin4 20 de

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Q: Given the integral ( 12x3 + 7 dx -5 Use the integral table to help you find the Anti Derivative of…

A: To evaluate: ∫-5712x3+7 dx We know that  ∫xndx=xn+1n+1, ∫kf(x)dx=k∫f(x)dx and  ∫abf(x)dx=F(b)-F(a),…

Q: Find the indefinite integral. (Use C for the constant of integration.) Je- (2 - x)3(2 - x)² d

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Q: Find the indefinite integral by using the substitution x = 6 sin 0. (Use C for the constant of…

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Q: Use the Exponential Rule to find the indefinite integral. (Use C for the constant of / 9xe®x? dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) tan2 dx secº x

A: The objective is to evaluate∫tan2xsec5xdx. The formula for integration is ∫xndx=xn+1n+1+c

Q: Find the definite integral: (x² + 2x)dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration. | cos(7/x13) dx

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Q: Find the indefinite integral and check the result by differentiation. (e5+ sec e) de

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Q: Find the indefinite integral and check the result by differentiation

A: Given, I=∫x2-932xdx

Q: 1/6 dx 3.S T1-9x2

A: Solve the definite intregal

Q: Find the indefinite integral using the substitution x = 5 sin(8). (Use C for the constant of…

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin(a^) « dx

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Q: Find the general indefinite integral. (Use C for the constant of integration.) | (x1.3 + 9x3.5) dx

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Q: Find the definite integral.

A: The given integrand is, fx=-sinx. The limit of the integration is, -π to 2π3. The objective is to…

Q: Evaluate the following indefinite integral Use C for any constant of integration 81 – x10 dx =

A: ∫tn dt = tn+1n+1+C ∫cos(at) dt =1asin(at)+C

Q: Solve the new Integral using the General Log Rule. Then, back-substitute x into the equation.…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(In 16x) dx

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.8 + 7x2.5) dx

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

Q: Determine the indefinite integral | 5x4(x5-6)8 dx by substitution. (It is recommended that you check…

A: Let's find.

Q: Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of…

A: Given, ∫x2−36x dxuse trigonometric substitution, x=6secθdxdθ=6secθtanθ

Q: Use the Log Rule to find the indefinite integral. (Use C for the constant of integration.) dx

A: Let z=x2+2dz=2xdxxdx=dz2

Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 49 dx

A: Find your answer below

Q: S", sin x dx

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Q: 4) S 2 sin x dx

A: We can find the integration and check it as below

Q: Evaluate the definite integral. sec (x/4) dx 0.

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Q: Evaluate the integral.

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x/x45) dx x46

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Q: Evaluate the indefinite integral. (Use C for the constant of integration x3. x2 + 37 dx

A: Given query is to find the value of the integral.

Q: 11) Гx + 7)dx

A: As per our guideline we are supposed to answer only 1 question, Please ask other questions as next…

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: We have to solve

Q: Given the integral 6x + 9 dx 2 Use the integral table to help you find the Anti Derivative of the…

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Q: Find the indefinite integral. (Use C for the constant of integration.) x8 + 24 dx 17

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Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

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Q: 1 dx x In x

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Q: Find the value of the definite integral: 4x dx -2

A: ∫-254x3 dx

Q: Find the indefinite integral and check the results by differentiation? (4x^2 + 3)^2

A: I=∫(4x2+3)2dx =∫(16x4+24x2+9)dxintegrateI=165x5+8x3+9x+c    where c is any constant

Q: e4x dx 6+ e4x

A: Given: I=∫e4x6+e4xdx

Q: Evaluate the integral. sinh 5a -dx +C. 5x

A: Evaluate the integral the given function Sinh is hyperbole function.

Q: Find the indefinite integral. (Use C for the constant of integration.) sin4 30 de

A: Given: To evaluate the indefinite integral: ∫sin4 3θ dθ Formula: ∫sinn x dx=n-1n ∫sinn-2 x dx - cos…

Q: dx x2-6x+20

A: To evaluate the given definite integral

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Find the indefinite integral. (Use C for the constant of integration.) x8/9 dx

A: we have to find the indefinite integral

Q: Use the Exponential Rule to find the indefinite integral. (Use C for the constant of integration.)…

A: ∫7xe8x2 dxlet u = 8x2→ du = 16 x dx→  dx = 116xdu= 716∫eu du  Exponential rule :  ∫ax dx = axln (a)…

Q: Find the indefinite integral. ∫e−3x sin 5x dx

A: ∫e-3x sin5x dx

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: xp

A: