Use any basic integration formula or formulas to find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) 4x3 – 6x2 - 9x 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: Evaluate the following integrals. 1. dx (9+ e²=)

A: The given integral,     ∫ex9+e2x32dx

Q: Evaluate using Integration by Parts, substitution, or both if necessary. (Use symbolic notation and…

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Q: Evaluate the integral dx by making the substitution u = 5x². After substituting we have: (in terms…

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Q: Evaluate each indefinite integral by finding the antiderivative.

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Q: 4. dr

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Q: Use the basic integration rules to find or evaluate the integral. (Use C for the constant of…

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Q: Evaluate the definite integral. (x+ 3) dx -1 Select one: OA. 30 B. -30 C. 22 D. 25

A: we have to find the following definite integral

Q: dx 2 X + 4

A: Topic = Integration

Q: Given ∫(−2x6 +3x5 −3x3 −6)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: Evaluate the indefinite integral as follows.

Q: The value of L(e2t sinh(2t)) =

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

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Q: Find f 6x dx? А. х2 + с В. 2х2 + с c. +c D. Зx2 + C

A: This is a problem of indefinite integral. Based on the general formula we will answer the question.

Q: 4. (ази t эзо

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Q: 2,31 dx

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Q: Use integration by substitution to solve the integral below. Use C for the constant of integration.…

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

Q: 6) St³ (t* + 3)7dt

A: Simply use the substitute and find antiderivative.

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

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Q: х2—4х+6 dx х-1

A: We have the given integral as I=∫x2-4x+6x+1dx Let us consider that, x+1=u⇒x=u-1dx=du Therefore,…

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

A: Given the integral. Using integral calculator,

Q: ate the integral. (If the quantit 8. dx (x2 + 4)2

A: The given integral,                ∫-∞∞xx2+42dx

Q: 8) S xe5x dx

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

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Q: Use integration by substitution to solve the integral below. Use C for the constant of integration.…

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

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Q: Decide on what substitution to use, and then evaluate the given integral using integration.) x² dx…

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

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Q: csc? (2x) dx 1 + 5cot² (2x)

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Q: Evaluate the integral dx by making the substitution u = 5x2. After substituting we have: (in terms…

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Q: Evaluate the following integrals. dr x²Vx² – 9 13

A: We put x= 3sec(u) and differentiate both sides with respect to u and find the value of the given…

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

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Q: Evaluate the following integrals. 2x3 + 4x² + 7x – 6 dr 1. x4 – 3x2 – 4

A: Given:     ∫2x3+4x2+7x-6x4-3x2-4dx   Factor the denominator:     =∫2x3+4x2+7x-6x-2x+2x2+1dx Perform…

Q: Evaluate the following integrals: Show CLEAN AND CLEAR solutions also indicate what rules/formulas…

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Q: Evaluate the integral. You may need to use substitution, complete the square, or some other method…

A: First make a complete square by adding and substracting 9 in  x 2+6x so that we get x 2+6x+9- 9…

Q: 7) Se3 V1+ e3xdx

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Q: Use the Change of Variables Formula to evaluate the definite integral. 4 dx /2 (x2 + 6)* (Use…

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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: Evaluate the integral xe5x? dx by making the substitution u = 5x2. After substituting we have: (in…

A: Use substitutions to integration

Q: Use integration by substitution to solve the integral below. Use C for the constant of integration.…

A: This question is based on Indefinite Integral.

Q: Using integration by parts, solve the following indefinite integral |x?eš*dx

A: We will evaluate the given integral.

Q: Solve the integral shown below. Show your solutions. 3xe ²x dx

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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: Among the given choices, which of the following definite integrals have the smallest value? A dr B…

A: Definite integrals are given we have to find the integral that has smallest value

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, if possible. (Hint: use the table of integrals and substitution)

A: Use the properties of indefinite integral to simplify.Let w = x^4.Calculate dw and simplify using…

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…