Evaluate the integral dx by making the substitution u = 5x2. After substituting we have: (in terms of u, du, and C) [For the exponential function you may type e or choose the exponential function from Functions in Math dx 5x2 xe %3D (before resubstitution) After resubstitution we have: (in terms of x and C) dx = + C

Q: Evaluate the definite integral from e^49 to e^81 ([e^49,e^81]) of the equation dx/xsquareroot of lnx

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Q: Consider the indefinite integral  ∫x6 • 3√x7-5 dx This can be transformed into a basic integral by…

A: Given indefinite integral is ∫x6·x7-53 dx                                    .....(1) Which can be…

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

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Q: Solve the following ODE by introducing integrating factor on the process of your calculation: x…

A: Given differential equation.x dydx2x+1x+1 y=x-1Comparing with the standard form.   dydx+Px y=Qx…

Q: 1 25. 4x – 7e" dx -3

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Q: .3 What is the value of the definite integral | (3t? – t – 6) dt? Enter your answer as an exact…

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Q: Find the indefinite integrals, if possible, using the formulas and techniques you have studied so…

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Q: N3/4 4 e4x dx 5) 1 + e8x

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Q: dx 50. (х — 1)43

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Q: In the given equation as follows , complete the square and find the indefinite integral? See the…

A: Assume or convert x in some from to make the equation more easy to solve. Then perform integration…

Q: (b) Solve the following integrals by using substitution and exponential rule and verify the answers.…

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Q: Evaluate the definite integral (4x + 8x+1) dx where A is a constant greater than 2. (a) 4A3 + 8A –…

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Q: Solve the following integrals with detailed steps: dx а. x²/4+x2

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: cln3 S e (In3) 2 -dx 2x +9 e

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Q: Evaluate the following integral as it is written. 1 4x 3xy dy dx 0 x3 1 4x 3xy dy dx = 0 x3…

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Q: What is the value of the definite integral (2a + 5a? - 2x – 9) dx? Enter your answer as an exact…

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Q: Determine how large the number a has to be so that 1 dx

A: We have to find out the value of a .

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Q: The integral of the given function ſ**-16) x3 3/2 dx is

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Q: Evaluate the following definite integral: / -3x(-2x² – 1)° dx Enter your answer as an exact fraction…

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Q: 3x e - е dx 3x e*:

A: The given integration, ∫e3x-e-xe3xdx

Q: Solve for the following integral: 1 -dx (e2x – 4)5/2

A: I=∫1(e2x-4)52  dxu=-2xdx=-12 duI=-12 ∫due-u-452v=e-u −4dv=-e-u du-dv(v+4)=duI=12∫1v52 (v+4) dv

Q: Sx sech ? x dx

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Q: Determine how large the number a has to be so that     ∫a∞ 1/(x2+ 1) dx < 0.001

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Q: The integral 1 dx x2 - 4 x + 4 ? If the integral is a number, enter the value in the blank below. If…

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Q: Evaluate the following integral or state that it diverges. sec dx 3 LO

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Q: Use the Exponential Rule to find the indefinite integral. -9x -9e dx Step 1 To find the integral -9e…

A: See the details solution in below

Q: Consider the indefinite integral /a Væ* – 4 dæ: . - This can be transformed into a basic integral by…

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Q: The indefinite integral is given below. ∫(3x3+5x2−23x−45)/(x2−9) dx The expression can be parsed…

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Q: Evaluate the following integral. -0.8x dx 3 e S. -0.8x dx = 3 e (Use C as the arbitrary constant.)

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Q: Find as many of the following integrals as you can using the formulas and techniques you have…

A: Part (a) - Let the given integral be y - y = ∫dxxlnx           ......................(1)Let,t = lnx…

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Q: So S(xy²) dxdy 4. 3

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Q: Consider the indefinite integral le+ e+6 dx: a) This can be transformed into a basic integral by…

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Q: Evaluate J by means of Simpson's rule with n = 2m=10 and h = 0.10 = [*exp(-x²) dx Answer in 4…

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Q: Evaluate the following integral using the power rule and then solve for the value of C glven F(2) =…

A: ∫5x3-3x+6 dx To evaluate integral using power rule And to find the value of c if F(2)=4

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A: Use  substitution method for solving integral.

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Q: Consider the indefinite integral x* + 9 dx. This can be transformed into a basic integral by letting…

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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

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Q: dx 49. 01 (x – 1)²

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Q: 24 e121n(x²) 2)) dx

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.