2. Use only the following given values of definite integrals to find the other definite integrals listed below. Indicate clearly how you used the given information plus properties of the definite integral to come to your conclusion. -3 •3 26 x² dx 3 15 23 dx x* dx 20 4 ' •3 (a) / 3=² – a*. 3x? dx (Ь) x° dx (c) x2 dx (Hint: Use the graph of y = x² to justify your answer.) -3 (d) x* dx (Hint: Use the graph of y = x° to justify your answer.)

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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

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A: We have to give reason and then solve the integration .

Q: Find a bound for the error in the approximation M10 to the given integral (but do not calculate…

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A: Step:-1 Trapezoidal Error Formula:-  Etrap≤k(b-a)312n2; ----(1)Here, f''(x)≤k Note:- Etrap=Error in…

Q: 4) Evaluate the definite integral: S, (6x² – 3x + 7)dx.

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Q: 1 dx (4.x² + 9)² c2 | Va? – a² dx d.x

A: h) Consider the following indefinite integral:

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Q: '1 1 Given that x² dx = use this fact and the properties of integrals to evaluate (8 — бх2) dx.

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Q: Q: Find the integration for the following functions: - 1.- °(1-cos2x) 2-5 2- sin(tnx) dx 3-f-…

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A: Simplification of the function helps to integrate the given function. The addition and subtraction…

Q: Find the indefinite integral using the substitution x = 5 sin(8). (Use C for the constant of…

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Q: Given the definite integral, its limits are to be substituted to x³ dx x + 1 x² x² 2 x3 3 Option 1 +…

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Q: Question 13

A: 12. Given Rewriting the function: Applying the antiderivative with respect of x:

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Q: value

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Q: Evaluate the indefinite integral given below. 2e3 sin (4z) cos (4x) dx Provide your answer below:…

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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…

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Q: Evaluate the definite integral. integral 1 to 0  ( x divided by 1+2x2) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | 2 sect() dx

A: Note : As per our guidelines we are supposed to answer only one question . Kindly repost other…

Q: Find the indefinite integral. (Use C for the constant of integration.) e 4x - e 2x + 1 dx ex

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Q: Question 17

A: We have to find the integration of the given function:

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Q: How to evaluate this definite integral: ∫[e^3, e]  (3((ln(x))^3) / x dx

A: The definite Integral will be solved by substitute method

Q: 3 If fS(x)dx = : = 6 and f(x)dx = -8, determine the value of each of the following integrals using…

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Q: Evaluate the following indefinite integrals. 1. S(5x + 4)11 dx 2. Sx (x² + 2)17 dx 3. fx²(9 – x³)5…

A: The solution is given below

Q: 3. Evaluate (using appropriate substitutions if necessary) the following definite Integrals. (a) ,…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 4 cos(0) – 1 OP

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

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Q: Given (2x + x° + 6x – 2)dx, evaluate the indefinite integral. Do not include +C in your answer.…

A: Given, ∫2x5+x3+6x-2 By using the sum rule, ∫f(x)±g(x) dx=∫f(x)dx±∫g(x)dx ∫2x5+x3+6x-2⇒2∫x5dx+∫x3…

Q: 1. Approximate the value of each of the following definite integrals using: i. Trapezoidal Rule ii.…

A: 1. Given integral is∫12xlnx dxn=4The value of the given definite integral is approximated using the…

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A: ∫xndx=xn+1n+1+C

Q: Match the definite integral to the correct evaluation. 9. S12/xdx 4 9. 180 xp- A. 152 4 В. 340 С. 25…

A: TO FIND THE FOLLOWING DEFINITE INTEGRAL 1 ∫4912X dx 2 ∫4  9 180x2 dx 3 ∫056x2+10x-7 dx 4…

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

Q: Find the indefinite integral. (Use C for the constant of integration. 9. de cos(8) – 1

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

A: Separate the integrals.

Q: '1 1 use this fact and the properties of definite integrals to evaluate 3 (6 – 9x²) dx. Given that…

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Q: 2) (2 points) if you know that f(x)dx =15 and S(x)dx = 8, find [ 3/(x)de using properties of the…

A: Suppose that a point c belongs to the interval [a,b]. Then the definite integral of a function f(x)…

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

Q: 16 Suppose we know that " (35(x) – 2) dr = 6 and that :[ #f(x²) dx = 8. Use this information and…

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Q: Evaluate the given definite integral. -2 . Jx(3-x²)*dx -3 -2 S2x(3-x)°d dx = (Type an integer or a…

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Q: 1. Evaluate the following integrals using appropriate methods and simplify your answers. e* dx (b)…

A: The integrals can be solved using the substitution method for ease of calculations. To simplify the…