dt Explain what is wrong with the following integral: |t| VE2 – 1

Q: 4 Evaluate the integral: sec Od0

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Q: SUppose F(x) = dt. Find the formda 13 F (x ³) expressed using an integral. ? F (x* )= ]

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Q: Use U-Substitution fo evaluate the integral,

A: Given: ∫2x3x2-13dx To find: We have to solve the given integral using u-substitution.  Required…

Q: Q.6 Evaluate the integral by interpreting it in terms of area 1) L xdx 2) LV16 - x² dx

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Q: |In (x)| dx 00 1+ x2

A: Given integral

Q: Ja (2) Suppose that F'(x) = f(x). What is the integral from a to b of f(x), with respect to x?

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Q: In Exercises 45–48, calculate the integral, assuming that •5 .5 f(x) dx = 5, 8(x)dx 12

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Q: (2+2æ) · e2z+z² dx as (2a + a2) · e2z+z² +C (2x + a²) · e2z+z +C

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Q: Using only the definition of RS-integral, evaluate .2 x* d[x}.

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Q: da Vx2 +1 Evaluate the integral

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Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

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Q: -dx is an improper integral. A) True B) False

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Q: Use the specified substitution to find or evaluate the integral. (Use C for the constant of…

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Q: Using only the definition of RS-integral, evaluate 2 |x* d[x}.

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Q: Use u-substitution to evaluate the integral: x/(x+2)^3   dx

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Q: The integral ∫0π tetdt depends on t   True or False?

A: Given,

Q: dr Evaluate the improper integral /, Tæ – 3)3/2 or state that it diverges.

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Q: dx Evaluate the improper integral if it exists

A: The solution is given as follows

Q: Picture attached. Thanks in advance!

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Q: Use substitution to evaluate the integral in terms of f (x):                                  ∫…

A: ∫f'-x+7 dx

Q: It yt 16x D dA.

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Q: Compute this improper integral showing all steps.  integral of (x/(x^4)+9) dx from 0 to infinity.

A: please refer to the image below

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

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Q: Evaluate dt using a trig substitution. As well, provide another solution to evaluating V4+ t2 this…

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Q: 26.Evaluate the integral by reversing the order of integration. a) 0∫1 3y∫3 ex2 dxdy

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Q: Using only the definition of RS-integral, evaluate .2 x* d[x).

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Q: dt 5+ t2

A: Given: ∫02t25-t2dt

Q: Using only the definition of RS-integral, evaluate |x* d[x}.

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Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ dt/t4 + 4t2 + 3

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Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ t dt/t4 - t2 - 2

A: Let's obtain the partial fractions:

Q: Evaluate the indefinite integral. fest √5e³t sin (est)dt = [

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Q: Use integration by parts to evaluate the definite integral. | t² In(t)dt Give an exact answer

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Q: Evaluate the indefinite integral. VA + a*dz ,5, + C

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Q: integral

A: Useful formula: ∫xndx = xn+1/(n+1) + c

Q: y = x, y = 2x, x = 2

A: The curves y=x, y=2x, and x=2. We have to find the integration.

Q: Using only the definition of RS-integral, evaluate x* d[x]. 0.

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Q: Evaluate the integral T/3 sec x tan x 0. sec x

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Q: Evaluate the integral, if it exists.    ∫0π/4  (1 + tan t) 3 Sec2 t dt

A: Given information: The integral is ∫0π4+tant3sec2t dt  Calculation: Apply the u-substitution method.…

Q: intergrate the integral from 0 to 1 of (x^2 + x + 1)/((x+1)^2)(x+2)) dx

A: See the details solution in below

Q: Evaluate the double integral. dA, D.

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Q: f(x)° f' (x) dx

A: Given, ∫fx3 f'x dx   We have to evaluate the integral in terms of x .

Q: Using only the definition of RS-integral, evaluate x* d[x].

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Q: -dx is an improper integral. A True B) False

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Q: 2. e2" Ve² + 2 dx

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Q: Explain why the following integral is improper then evaluate it or show that it diverges: 1 dr

A: As the upper and lower limits of this integral are real numbers, that's why it is an improper…

Q: Sx (x² + 4)5 Se3*dx

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Q: Use a substitution of the form u = ax +b to evaluate the indefinite integral below. V3x +2 dx

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Q: х — 3 (x+ 2) (x – 1)²

A: The given integral is; (x-3)/[(x+2)(x-1)2].