Evaluate the indefinite integral by using the substitution u =6-x to reduce the integral to standard form. (6-x7)2 dx = (6-x7)2

Q: Find the indefinite integral.

A: We find this indefinite integral by the method of substitution. We re-write the integral in a…

Q: Evaluate the indefinite integral by using the substitution u = 6-x° to reduce the integral to…

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Q: Use the table of integrals to find the indefinite integral. -dx 3-5x

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Q: How to evaluate the integral of [(dx)/(9-x2)(3/2)]

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Q: 1 + 10/x| dx 3x3

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Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

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Q: Find the indefinite integral using any method ∫ (3x3 + 4x) /(x2 + 1)2 dx

A: We have to evaluate

Q: 4 — бх4 - dx = + С. x2

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Q: Find the indefinite integral using the substitution x = 2 tan θ.

A: The given integral is

Q: Evaluate the indefinite Integral 9x - dx 8x2 + 3

A: in the given integral  let  8x^2 + 3 =t           16xdx = dt            xdx = (1/16)dt         put…

Q: Find the indefinite integral by making the substitution x = 9 sin e. 6. V81-x2 1 3/2 +C 81 V81-…

A: Option b is correct

Q: Evaluate the indefinite integral by using the substitution u = 6-x* to reduce the integral to…

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Q: Find the indefinite integral ∫ (x2 − 2x) / (x3 − 3x2) dx

A: Given: ∫x2-2xx3-3x2dx for solving this integral we substitute  x3-3x2=t now differentiate both side…

Q: Find the indefinite integral using the substitution x = 2 tan θ.

A: Then integrate with substitution

Q: Evaluate integral of dx/x+2 from -6to-10

A: Given , To Evaluate the integral of dx / x+2 from -6 to -10

Q: Find the indefinite integral by making the appropriate change in the variable. a) Sx²Vx³ +1 dx 1+4x…

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Q: Find the indefinite integral using u-substitution. The indefinite integral of x(4x + 5)8dx.

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Q: Evaluate the indefinite integral:  ∫ (3x2 + 1)(x3 + x)2 dx

A: We have to evaluate the indefinite integral: ∫3x2+1x3+x2dx Rewriting the integral by using…

Q: Find the indefinite integral

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Q: Find the indefinite integral of (x2/(3+4x-4x2)3/2)dx

A: Consider the following integral: ∫x23+4x-4x232dx=∫x24-4x2-4x+132dx=∫x24-2x-1232dx Substitute…

Q: evaluate the indefinite integrals. (8sec2(3x)+5tan(2x))dx

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Q: Find the indefinite integral using the substitution x = 2 tan θ.

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Q: Find the indefinite integral.

A: Given integral: ∫x2-2xx3-3x2dx

Q: dx x²-x-2 ーズ

A: Given integral, ∫2x2-x-2dx

Q: (8 - 3x*) dx. x² dx use this fact and the properties of integrals to evaluate Given that

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Q: Use substitution to find the indefinite integral.

A: Given integral: ∫x2-6xx-3 dx Substitute u=x2-6x and differentiate it w.r.t 'x'…

Q: 2x (x+2)-5 dx z

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Q: (x²-5)dx x3+15+12

A: Use partial fraction concept  And integration (1/x)dx=logx , integration 1/(x²+a²)…

Q: Evaluate the indefinite integral by using the substitution u = 5-x° to reduce the integral to…

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Q: Find the integral: x45-x5 dx

A: The objective is to find the integration.

Q: Evaluate the integral. (Use C for the constant of integration.) dx 3 - 3x9

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Q: Use a table of integrals to find the indefinite integral

A: ∫1x22+9x2dx Put, x=2tant3⇒dxdt=23sec2t⇒dx=23sec2t dt

Q: Find the indefinite integral: Integral of (x3 - 3x divided by 3x2) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 7-6x - x² dx

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Q: Find the indefinite integral by making the substitution = 8sec 0- x²-64 dx

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Q: Use integration by substitution and the Fundamental Theorem to evaluate the definite integral. 2 |…

A: Use substitution method

Q: 36x2 + 25 dx x2

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Q: Evaluate indefinite integral: dx / (x+3) * squareroot of x2+6x

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Q: Evaluate the indefinite integral by using the substitution u=x² + 1 to reduce the integral to…

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Q: a+bx² √3ax+bx³ dx

A: This question is related to indefinite integration, we will solve it using given information.

Q: Find the indefinite integral. (Use C for the constant of integr √(x-8 - 8)² dx

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Q: Evaluate the indefinite integral. x + 3 dx x2 + 6x

A: Given,            ∫x+3x2+6xdx

Q: Evaluate the indefinite integral: 3 3 x² dx + С. x3

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Q: 2 x² (7+ 4x8) dx

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Q: Find the indefinite integral of Jsec²x tanx√1 + tanx dx. 22/2

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Q: Evaluate the indefinite integral x5 – 5x dx x3

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Q: 3 aluate the indefinite integral by using the substitution u = x + x° to reduce integral to standard…

A: Please refer to the image below

Q: Find the indefinite integral of 3(x-1)(2-3x) dx

A: By using the simple rules of integral, we will solve the ∫(3(x-1)(2 -3x))dx integralNow,  ∫(3(x-1)(2…

Q: Evaluate the integral, if it exists. If it does not exist then explain why. ' 10 x² – 4 -dx 2

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Q: Use residues to find the indefinite integral f* dx- (16+x)2 2x2

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