48. Using Properties of Definite Integrals Given | f(x) dx = 0 and fx) dx = 5 evaluate co (a) f(x) dx. (b) f() dx f(x) dr.

Q: 7. If f is negative on [-3, 2], is the definite integral f(x) dx positive or negative? What about…

A: It is given that function f is negative on -3,2

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) dx 15 + cos?(x)

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Q: Q1- Express of the integral in term of Gamma function and simplify where possible *e-2 dx.

A: Gamma function

Q: x dx = b2 - . T/2 cos(x) dx = 1, together with the properties of definite integrals, to evaluate…

A: To calculate the integral using the given formulae

Q: Find the indefinite integral. x(x+5)dx |Vax + 5)dx=| (Use C as the arbitrary constant.)

A: Given integral

Q: 1. Using properties of definite integrals, given f(x)dx = 10 and | g (x)dx = – 2, evaluate 2 6. a)…

A: (a)∫26-f(x)+g(x) dx  = -∫26f(x) dx+∫26g(x) dx = -10 + (-2) =-10-2=-12∫26[-f(x)+g(x)] dx =-12

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x3 dx 1 + x8

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) dx 27 + cos (x)

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | x³ sin(x*) dx

A: Let’s put u = x4 and then solve the integration:

Q: Find the indefinite integral. (Use C for the constant of integration.) -cos X dx sin5 x

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Q: Q1- Express of the integral in term of Gamma function and simplify * x*e-2x dx. where possible

A: Use gamma function

Q: Find the general indefinite integral. (Use C for the constant of integration.) x3 + 4 x2 ) dx

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Q: 5. Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: integral from 0 to 2 if (x^2 dx) / (x^2 + 4)^2

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Q: (9) Evaluate the definite integral -1 x'+1 dx

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Q: xe dx 2 (1+x) ²

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Q: 1. Use residues to evaluate the integrals shown below sinx a) S- dx x+4x+5 -00

A: Note:- As per our guidelines, we'll answer the first part of this problem as exactly one is not…

Q: Find the indefinite integral. (Use C for the constant of integration.) (sin(x) – 4 cos(x)) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | cos(T/xi) x12 dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) tan-(5x) dx 1 + 25x2 1 2…

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Q: Find the indefinite integral. (Use C for the constant of integration.) dx x2 + 3

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

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(7T/x15) х16 dx

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (Sx² + 8 +) dx 4 x2 +…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) COS X dx (sin x)20

A: Given, ∫cosxsinx20dx We have to evaluate the indefinite integral.

Q: Find the indefinite integral (use c for the constant of integration) ∫cos3 x sin x dx

A: To solve the given integral

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.) | cos(7/x29) dx

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Q: (x2 + 7)(x1/2 − 7) dx

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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: Can i get help step by step with this problem?

A: The given integral is

Q: Find the indefinite integral. (Use C for the constant of integration.) cos 5 t dt COS V sin t

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 2 4x2 + 8 + dx x2 + 1

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Q: integral from 2 to 3 of (x^3 - 2x) dx / x-1

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) dx 14 + cos?(x)

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Q: Find the indefinite integral. (Use C for the constant of integration.) e2x dx 81 + e4x

A: the given indefinite integral is: ∫e2x81+e4xdx we have to evaluate the given indefinite integral.…

Q: Find the indefinite integral. (Use C for the constant of integration.) (8 cos x + 7 sin x) dx

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) 3 8x2 + 7 + dx x2 + 1

A: Given : ∫8x2 + 7 + 3x2+1dx

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.2 + 9x3.5) dx

A: It is indefinite integration problem.

Q: 02:- By using integration by part, find :- (Choose two only) 1- Sxe-* dx 3-S(1+ x²)e¬*dx 2-f Inx…

A: As per the company guideline's we are supposed to answer first question as mentioned by the…

Q: Find the general indefinite integral. (Use C for the constant of integration.) 3 4x2 + 5 + dx 2 X +…

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Q: 7. Evaluate the integral. (Use C for the constant of integration.) √x² - 25 x² - dx

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 8x + 4 + dx x2 + 1

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Q: Find the indefinite integral. (Use C for the constant of integration.) 2e 1/x x2

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

A: Given,          ∫x8ex9-2dx

Q: Find the indefinite integral. (Use C for the constant of integration.) (1 - e2x dx

A: We need to find the following indefinite integral.                ∫ex1-e2xdx

Q: 2.8 2 – 0.7 sin(x²) dx 0.3

A: Use Trapezoidal and Simpson's (1/3)rd rule to find integrals.

Q: Find the indefinite integral. (Use C for the constant of integration.) 15 COS x sin x dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin x dx 3 + cos x

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Q: valuate the definite integral: 4 x* — 2ух + 2 - -dx. x2

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