Evaluate the integral f(x) dx, where S2- x', x< 1 x², f(x) = x > 1 (Use symbolic notation and fractions where needed.) f(x) dx =

Q: Evaluate the integral. (Use C for the constant of integration.) 3 dx x(x4 + 5)

A: In this integrated we will assume x4 =t , then we will solve it

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

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

A: We can solve the indefinite integration.

Q: dx (In x)³ dx \(* + 3):" 1 dx Vx(Vx + 1)

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Q: Evaluate the integral. inegral  0 to 1 [(2x+3)/(x+1)2 ]dx

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

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Q: Evaluate the integral. integral    (  x 2 -x +6  )/ (x 3 + 3x) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) (x2 + 2x) cos(x) dx

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Q: |x| dx 1 X V1– x² -1

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Q: Evaluate the integral. (Use C for the constant of integration.) (x2 - 9x) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) x² + 9x + 1 dx (x² + 1)2

A: Make two parts of the integration.

Q: Evaluate the integral. (Use C for the constant of integration.) 7x2 + x + 7 dx (x² + 1)2

A: The given integral is: ∫7x2+x+7x2+12dx To evaluate the given integral.

Q: Evaluate the integral dx et – e-x

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Q: The result of the integral is equal to 4 √ = (x − 1)(x + 1) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 1 - 4x2 dx

A: Given that∫ 1-4x2 dxwe need to evaluate it

Q: Evaluate the integral. (Use C for the constant of integration.) 2 dx ex/2

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Q: Evaluate the integral. (Use C for the constant of integration.) (1.2^x+4^x)dx

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 + 7x + 1 dx (x2 + 1)2

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Q: Evaluate the integral. (Use C for the constant of integration.) (x^2-25)^1/2/x^3 dx

A: To find:-  ∫ √(x2-25)/x3 dx

Q: 8. Evaluate x dx from the definition of RS-integral.

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Q: evaluate the definity integral  from -10 to 10  (2 - x)dx

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Q: Evaluate the integral. (Use C for the constant of integration.) (arctan(x))5 | x2 + 1 dx

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Q: Evaluate the integral after changing the integral S's (in (x+y+ 1)dx dy -S1-ye

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 dx 25 – x2

A: Let, Integrate using substitution,

Q: Evaluate the integral 8 dx x² V25 – x2 Note: Use an upper-case "C" for the constant of integration.

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Q: Evaluate the integral. (Use C for the constant of integration.) | (4x* - 2x-2 + 3x-5 + 5) dx

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Q: 1. Evaluate the integral using integration by parts where possible. Z2 x In(8x)dx

A: we  have ∫12x*ln(8x) dx   we have to apply integration by parts ∫u v dx = u∫v dx −∫u' (∫v dx) dx…

Q: (x2 + 7)(x1/2 − 7) dx

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

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

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Q: Evaluate the integral. (Use C for the constant of integration.) X + 14 dx + 2x + 5

A: Topic - integration

Q: Evaluate the integral. (Use C for the constant of integration.) (ln(x))2 dx

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

A: Let, u=x and dv=cos(6x)

Q: When using Simpson's rule to approximate the integral In(x+1)dx, then the upper bound of the error…

A: Consider the given information. I=∫23lnx+1dx Let's take 1 for n for the error bound. Calculate the…

Q: Evaluate the integral. (Use C for the constant of integration.) e2x dx

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

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

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 64 dx

A: The given integral is ∫x2-64x3dx. Let us assume u=x2-64 and v'=1x3. Differentiate u with respect to…

Q: Evaluate the integral. (Use C for the constant of integration.) dx ex/2

A: Given,  ∫e5x-7ex/2 dx

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

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Q: Evaluate the integral. (Use C for the constant of integration.) 11 dx x²V 4x² - 1

A: Given integral ∫11dxx24x2-1=11∫dxx24x2-1 Now consider ∫dxx24x2-1 Use substitution method to solve…

Q: Calculate an approximate value of the integral x2 dx by dividing the 1+x interval into 4 equal parts…

A: In the question we have to find the value of integral by using Simpson's one - third rule.

Q: Evaluate the integral. (Use C for the constant of integration.) dx 5x(1 +5x)

A: Evaluate the integral using trigonometric substitution

Q: Evaluate the integral S - dx V16-x2

A: Evaluate the integral of the integrand  x2/√(x2-16) .

Q: (2+ln² x) 2. S: -dx x(1-In x)

A: As per rules supposed to solve only one problem at a time so please post the remaining question as a…

Q: Evaluate the integral. (Use C for the constant of integration.) 10 dx 5x + x/x

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

A: We have to find the integral

Q: Evaluate the integral. (Use C for the constant of integration.) 4x 4 + 4x dx e

A: We have to find

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

A:

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

A: