Evaluate the integral *(2* – 3)*da a* – 3)' by making the substitution u = x* – 3. | +C

Q: Evaluate the integral. 3. (In(x))² x3 dx 1

A: I am attaching image so that you understand each and every step.

Q: -s(-+)( + }) 1. dt

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Q: Evaluate the integral of 0∫3 3x3+2x+10dx a. analytically b. using Simpson's 3/8 rule with 3…

A: ∫033x3+2x+10dxApply the Sum Rule:…

Q: Evaluate the double integral of cos(x) with x from 0 to π/4 and y from 4y to π

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Q: Use the Residue to Evaluate the following Improper integral: dx x² + 2x + 2

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Q: 5. Determine if the integral is conve 0. exdx -1/2 V1-e 2x

A: Given query is to find integral converges or diverges.

Q: Use the Residue to Evaluate the following Improper integral: dx x² – 2x + 2

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Q: Evaluate the integrals using the trig substitution dx 1. x²Vx2 – 1

A: The given question is from the topic of Integrals

Q: 2. In r dr

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Q: Consider the integral -8e-2' dt If the integral is divergent, type an upper-case "D". Otherwise,…

A: Given: ∫-∞-1-8e-2tdt

Q: Find the integral by using the integral table on the inside back cover. ( et dt e2t - 25

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Q: 1= [3y/7-3y° dy

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Q: Approximate the integral of: f(x) = Vsin(x) + x* + 5 from x = -10 to x = -14 using N = 4 steps. (a)…

A: Given : f(x)=sin(x)+x4+5 a) using left hand sided rectangles We know that  ∫abf(x)dx=…

Q: Evaluate the derinite Integral. #5 In(x) dx

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Q: Evaluate the integral by using a substitution prior to integration by parts. S(in 3x) dx O x (In…

A: First, we use the integration by parts.…

Q: 2.x D' -8 .

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Q: Evaluate the integral. 了學 ( Inx dx O- In x - +C 2x 4x2 O-4 In x - + C 4x2 0.을 Inx- +C 2x2

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A: We need to integrate∫ex-8x-8dx

Q: 7 Evaluate the improper integral, if exists : dz (5 - 2)3

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Q: b)does the integral converge 2x-2 dar (r+1)(x²+1

A: Consider the given integral. I=∫1∞2x-2x+1x2+1dx Now, find the partial fraction of the function.…

Q: Compute the integral of f(x) = 0.4 – 2x² + 40x5 from a = 0 to b = 0.8 using i. Trapezoidal Rule with…

A: Numerical integration

Q: Find the integral of f(x) = 1 √1-16x² between 0 and 1.

A: The given integral is 1/sqrt(1-16x2).

Q: Evaluate the integral. zp zul s)

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Q: / (In z)*dz. Evaluate the integral

A: Here we will use integration by parts repeatedly.

Q: dx x2 -1

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Q: Find the integral b) Use the subslilation

A: This question is based on Integration.

Q: dx 3-2x-x2 -3

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Q: The improper integral 2dx is 1-x2 0.

A: π

Q: Evaluate the integral. ( x³ In 4x dx

A: Given, ∫x3ln(4x)dx

Q: Q2/Evaluated the integrals v2 1- f– (1-v2 )2

A: The integration of v2/(1-v2)5/2.

Q: Compute the integral of f(x) = 0.3 – 2x² + 40x³ from a = 0 to b = 0.8 using i. Trapezoidal Rule with…

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Q: Calculate the Integral of the f (x) = x2 / (x ^ 3-2) function in the [1,3] interval according to…

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Q: In xdx

A: Formula:Integration by parts:∫ uv dx =u∫v dx -∫ dudx∫vdxdxI=∫ x5 ln x dxu=ln x, dudx=1xv=x5I=ln x ∫…

Q: Evaluate the integral by making the substitution u = x – 6.

A: Given,           ∫x2x3-637dx ; by making the substitution u=x3-6

Q: Evaluate the integral. Clearly indicate u-substitution steps if required. 19 J2+ 5y

A: Given integral is ∫195+2ydy evaluating the integral with u substitution

Q: Evaluate the integrals ∫√(25 - t2) dt

A: We have to evaluate the integral: ∫25-t2 dt Rewriting the integral, ∫25-t2 dt=∫52-t2 dt We know the…

Q: Evaluate the integrals by subs;tu;on dp- V5+x c)

A: ∫-14x5+x dx

Q: 3. 4 dx Зx/10In(3x) — (In(3x))2

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Q: Evaluate the improper integral x3

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Q: Compute the Improper Integral by Using the Residue +00 1 x² +24+2dx 2X

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Q: Evaluate the integral ∫√(3 - 2s) ds

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Q: Show that In xdx = x In x-x+C and use this result to determine the integral:

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Q: 5/(5x+5x^2+x^3)

A: We apply partial decomposition to calculate the integral.

Q: dx /3-2x-x² 2

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Q: Suppose we perform the substitution .3 u=9-x in the integral

A: Given that:∫123x29-x3dx