Use the basic integration rules to find or evaluate the integral. (Use C for the constant of integration.) x2 Vx3 – 15 dx

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

A: Integrate the given integrand x/x4+2x2+2 by completing the square method

Q: 5. If a and b are positive constants, evaluate the following integrals: ,-bx e-ax -e -dx; (a) (b)…

A: The objective is to evaluate: ; where a and b are positive constants.

Q: Q2. Use Integration by parts to evaluate the following integrals Sear cosbx dx

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Q: Evaluate the integral. (Use C for the constant of integration.) A) x cos(2x) dx B)e6θ sin(7θ) dθ

A: here we evaluate the integral      (A)   ∫ x cos (2x)dx     (B)  ∫ e6θ sin (70) dθ

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: ∫xe6x2-4dx

Q: Use the basic integration rules to find or evaluate the integral. e In(2x) 1+ ln 4 [eind X X dx

A: The given integral ∫1eln2xxdx

Q: a) Integrate the following expressions with respect to x. Then, find the value of the function…

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Q: II. Perform the integration. sinh? (e¬) dx eª cosh(e-¤) 2 4.

A: We have to find value of given integral.

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

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Q: 2 dx a) Evaluate the integral by completing the square and using a substitution 2 x2-6x+10

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Q: Evaluate the following indefinite integral. Use C for any constant of integration. 56 dx x2 – 49

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Q: T 11x + 29 dx The integral is equal to

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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: Q12/ Find the integration * ( 3tan3*/* sec?(x/4)dx. Your answer

A: Given the integral. Using integral calculator,

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: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: We have to solve

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integratiOn.) x4…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Use appropriate substitution and reduce the integration in easy form then solve it.

Q: Derive the formula by using integration by parts on the left-hand side. (Assume n > 0.)

A: Given:

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

A: The given integral is x/(x4+10x2+26).

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: Given:

Q: Evaluate the integral. (Use C for the constant of integration.) ∫ e4θ sin(5θ) dθ

A: we have to find the value of integral ∫e4θsin(5θ)dθ to find the value we use the formula ILATE which…

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: We have to solve

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

A: Solve the following

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: To calculate the integral

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: First make a substitution and then use integration byparts to evaluate the integral.   ∫Cos √x dx

A: Given: I=∫cosxdx for evaluating given integral, we substitute x=t…

Q: 2e* -dx 8+ et •3 dx o x-2 TeCos(T2) 1 - dx 14 csc(Tx)

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Q: Evaluate the integral. (Use C for the constant of integration.) cos 30 de

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

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (u + 9)(5u + 6) du

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Q: Find the general Indefinite Integral. (Use C for the constant of integration.) (u+7)(4u+9) du

A: Solve the following integral

Q: If you were to use a substitution of u = 3x³ + 6 to evaluate the definite integral below, what would…

A: Given integral: ∫-144x23x3+64dx We have to use substitution u=3x3+6 to evaluate the new limit of the…

Q: Q2. Use Integration by parts to evaluate the following integrals Seax cosbx dx

A: Answer

Q: If a and b are positive constants, evaluate the following integrals: e -ax -bx (a) -dx;

A: Given : The integral  ∫0∞ e-ax - e-bx x  dx  where a and b are positive constants.   To determine :…

Q: 70 (sinr cos r) dx T/2 sin a) dx

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: uate the indefinite integral. (use C for the constant of integration.) dx 7)7 73

A: We have to calculate the given indefinite integral

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x2…

A: Let u=x^3 + 15 find du/dx and substitute in the integral.

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: d.x -x2-4x

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Q: Perform the integration. sinh? (e-) dx e cosh(e-) 2

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Q: 6. f(x)= 1+x? at x = (2, 3|

A: You post three questions these are non link questions, as per our guideline we can solve only first…

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) 1…

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

Q: Evaluate the integral. (Use C for the constant of integration.) 15x cos?(x) dx

A: