0* a + x- 4. Use residues to evaluate the improper integral dx; where a is a real constant. 1+ x4

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4 dx (1 –…

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Q: Find the exact value of the integral. (No decimal approximations accepted) 1/2 x cos(x³) dx

A: Given problem is :

Q: d.x 4. x+ Va

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Q: 3. Use a substitution to evaluate the following indefinite integrals, clearly stating the…

A: We will solve the problem

Q: Using an upper-case "C" for any arbitrary constants, find the general indefinite integral -5 -5x? +…

A: We expand the integration

Q: (a) Determine whether the integral given is proper or improper(if so, explain why). ~2 1 dx |x – 1|…

A: As per Bartleby guidelines for more than one questions asked only first should be answered. Please…

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

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

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Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ x + 1/x2(x - 1) dx

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Q: 1. Evaluate the following integrals using appropriate methods and simplify your answers. (a) ² dr

A: We will answer the first question as you didn't mention any. Please resubmit the other questions…

Q: Evaluate the following indefinite integrals. You do not need to simplify your answers. i. SG. +…

A: To evaluate: ∫2x+6sin3x-e5+12x3dx. Formula's used: ∫1xdx=lnx+C∫sinaxdx=-1acosax+C∫xndx=xn+1n+1+C…

Q: indicate a good method for evaluating the integral (but do not evaluate). Your choices are algebraic…

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Q: The value of the definite integral is Select one: O none of the others 45 6 30 -30 [² (3x² - 2x (3x²…

A: Topic = Integration

Q: Evaluate the indefinite integral given below using the indicated substitution. /-20 -2(-2x +9)³ dx u…

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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: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 8. dx : (1 –…

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Q: Give an approximation of the following defined integral with an absolute error below 10-8 3 :/ Use…

A: Given integral is I=∫13x2x3−e−xdx. We have to find the approximate value of the given integral.…

Q: e2X dx V1+e2x

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Q: Evaluate the definite integrals by u-substitution. In5 fe (3-4e*) dx a. 2 cos 3x dx b.

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Q: dx dx хV 16 — 9х2

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Q: Find the indefinite integral by making the substitution x =sin e (Note: 0, "theta", represents an…

A: Answer is mentioned below

Q: Evaluate the indefinite integral. 26 dx 7+2

A: The given integral is: ∫x6x7+2dx Let, x7=u Differentiate both sides of the above expression.…

Q: 1. Se-5t t dt

A: The given indefinite integral is ∫e-5tt dt. We have to compute the value of integration using…

Q: Evaluate (x + 1)*dx = [(x+1)*dz + f{ (x + 1)*dx

A: Given Problem:- Evaluate ∫13x+12dx

Q: 4 4 – Vx X dx 1 VX

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Q: Evaluate the integral (1+lnx)5/ x dx from 1 to e.    Find the indefinite integral: sin(x)…

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Q: dx 3 (x² + 16)7

A: We have been given the integral  ∫1(x2+16)32dx       (1)

Q: Evaluate the integral. 4.x V1 - x2 dx = 0. NOTE: Enter the exact answer.

A: Given: I=∫014x31-x2dx  ...1 Using substitution method to solve the given integral. Let,…

Q: Find the indefinite integral using the substitution x = 5 sin 0. (Remember to use absolute values…

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Q: (4) / | Va In x da (d) In x dx x2 (e)

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Q: Evaluate the definite integral two ways: first by a u-substitution in the corresponding indefinite…

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Q: 20/x² – 49 -dx - Evaluate the integral: (A) Which trig substitution is correct for this integral?

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Q: (x – 4)(x- + 2) dx Explain why Jo To x² is an improper integral and determine whether it is…

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Q: Evaluate the following integrals: Show CLEAN AND CLEAR solutions also indicate what rules/formulas…

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Q: -6sin (z)dr

A: Given: ∫ -6sinxdx

Q: Evaluate the definite integral two ways: first by a u-substitution in the definite integral and then…

A: Given,           ∫133xx+1dx

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: (a) Use the Midpoint Rule with n = 6 to approximate integral Sc dx 8 x-6 x+8 Write your answer exact…

A: (a) From the given integral, the function is fx=x-6x+8, a=6, b=8 and n=6. Note that, the formula for…

Q: 1 c) (x² + e#)% ( Hint for part (c): Try to use Comparison Theorem for Improper Integrals) -d.x

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Q: Find the exact value of the integral using formulas from geor 5. (2+2x)dx 2. |(2 + 2x)dx = (Simplify…

A: Given: ∫25(2+2x)dx To find the exact value of the integral using geometry

Q: Consider the indefinite integral dx: (x4 – 1)* | This can be transformed into a basic integral by…

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Q: 12tan?x sec?x dx (3 + tan³x)²

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Q: 21 – In x dx e 1

A: Solution is given below..

Q: S: X dx 2Vx + 2

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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)…

Q: e3 cos 2x sin 2x dx

A: Given: ∫e3cos2xsin2xdx To determine: The value of given integral.

Q: 2) Compute the integral z cos(2?) sin(x²) dr two ways: (a) First, find an antiderivative of f(x) = x…

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Q: Evaluate the integral. dx (x – 10)(x – 15) Use symbolic notation and fractions where needed. Use C…

A: Here we have to evaluate I=∫dxx-10x-15

Q: Express the integral in terms of the variable u, but do not evaluate it. 4x-3 dx; — 4х — 3 NOTE:…

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