2. In each part, evaluate the integral, given that 2x, if r <1 f(x) = %3D x, if x > 1 a. f(x)dx 10 b. с. f(x)dr

Q: Evaluate the integral 2x dx x – 6 ILO fer th

A: SOLUTION-

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Q: 4. For each of the following improper integrals, note WHY it is improper, and then set up the…

A: Given: a. ∫1∞ 1x3 dxb. ∫-∞4 3x+2 dx To write: Why the given integrals are improper and to set up the…

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A: We have to find correct option of given integration by dividing limits.

Q: Evaluate the integrals ∫coth x dx

A:

Q: Given the function f(x)= \x over the interval [1,16]. Find the “ Mean Value Theorem for Integrals. "…

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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 +…

A: Given problem:-

Q: 18. In each part, evaluate the integral, given that f(x) = (2x, x≤1 x>1 2, (a) forex f(x) dx (b)…

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Q: Evaluate the improper integral |. 3.x dx or show that it diverges. +1 x?

A:

Q: Evaluate the integrals ∫tanh x/7 dx

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Q: Evaluate the Cauchy principal value of the given improper integral. S. 00 1 dx

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Q: 39. Use the definition of the integral to find the exact answer to x*dx , that is find lim f(x, )Ax.

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A:

Q: Guess the value of  integral 0 to infinity    x n e -x dx  , when is an arbitrarypositive integer.

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Q: Use Simpson's Rule with n = 4 to estimate the following definite integral: I+32 dz I+2

A:

Q: Which of the following integrals will find the length of the graph of f(x) = e* for 0 < x < 4? %3D

A: Given,          fx=e6x for 0≤x≤4.

Q: 4. Use the comparison property to calculate if the following integral converge: sin? x dx. | 1+

A:

Q: Approximate the integral from 1 to -3 of e-x dx using four equal subintervals.

A:

Q: Use Simpson’s Rule with n= 10 to approximate the integral 0 to 1 e x2   dx

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Q: [2+v9-x)dx

A: Hello. Since your question has multiple parts, we will solve the first question for you. If you want…

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Q: In the function given. Evaluate the integrals.

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Q: x4

A:

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A:

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A:

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Q: etermine the following integrals by using (IF) 1. S dx 4x2+4x+1

A: Topic:- integration

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A:

Q: Evaluate the integral, if it exists.

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Q: The numerical value of the improper integral (tx) 3 dx is equal to (x*+1) 2 - 00

A: Please see the answer below.

Q: How large should n be to guarantee that the Simpson's Rule approximation to  the integral 13e^(x^2)…

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Q: determine Ahe impraper integral dx (H+1)(x²+1)

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Q: Estimate the integral below by using Simpson's rule and Trapezoidal method with n=4, also find ET…

A:

Q: In the function given. Evaluate the integrals.

A: Given integral: We have to find 3∫14fxdx We know that ∫14fxdx=8 Therefore, 3∫14fxdx=3×83∫14fxdx=24

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A:

Q: The area of a circle of radius v7 can be calculated using which of the following integrals? O 7- x²…

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Q: 3. Find the value of c guaranteed by the MVT for integrals for f(x) = cos(x), [-; 3'3 ] over this…

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Q: For what values of  a is ∫0∞ eax cos x dx convergent? Evaluatethe integral for those values of a?

A: ∫0∞eaxcosx dx Now, ∫0∞eaxcosx dx=limt→∞∫0teaxcosx dx=limt→∞eaxa2+1acosx+sinx0t    ∵∫eaxcosbx…

Q: Use any method to evaluate the integral. x'dx 2 X + 16

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.