.find integrals by using Beta fun dx (1-x*) ーズ

Q: Evaluate the improper integral 2x dx, if it exists. (x² + 81)2

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Q: evaluate the integral using the methods covered in the text so far.

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Q: Evaluate the following integral: dx x2 -x-6

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Q: Evaluate the following integral. dx 9-x²

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Q: 3. Use the Comparison Test to determine whether the integral cos? x dx is convergent or divergent.…

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Q: Evaluate the following integral: dx So √1-x²

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Q: Consider the following integral: (³ In(2x) dx.

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Q: sec²(x) √2-3tan (x) dx

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Q: Evaluate the indefinite integral. asin (a)cos(2)dz: + C %3D

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Q: Evaluate the integrals in ∫2ey cos ey dv

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Q: S e2x sin 2xdx

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Q: Evaluate the integral. 3 5ex + 7cos(x) dx

A: Given,          ∫035ex+7cosxdx

Q: Evaluate the integral from -n/2 to +t/2 of x² sin x.

A: Given integral

Q: Find the integral J dx using the following methods: х2 — 9 -

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Q: | cos' x| dx 3

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Q: 1. Find the integral of f xe¯*dx using Trapezoidal with Romberg with k = 3.

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Q: Evaluate the following integrals. Sen³(/x) dx x,

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Q: Evaluate the definite integrals. Requires a supporting analysis. S sva dx

A: Here f(x)=5xwe have to find the value of ∫095x dx∫09f(x) dx=∫095x dx=5∫09x dx=5∫09x12…

Q: compute the definite integral.

A: Our Aim is to compute the definite integral given below:-∫12 x ln (x) dx-(i)

Q: 1. Write the following improper integral as a limit. x-3x In(x)-1 dx x (x-1)

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Q: Use symmetry to evaluate the following integral. | (6- |x)) dx - 1

A: The given integral,     ∫-116-xdx

Q: Determine if the following improper integrals converge or diverge dx 2) 1 + e-2x -8

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Q: dy -1

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Q: Evaluate the integrals ∫√(1 + cos (t/2)) dt

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Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Consider the following integral: ∫-22x2-4dx=F2-F-2 Fx=∫x2-4dx=x2+12+1-4x+C=x33-4x+C

Q: Evaluate the indefinite integral. (Use C for the cons x(2x + 5)8dx

A: Integration of x(2x+5)8.

Q: Evaluate the definite integral. 5 t* In(3t)dt

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Q: dx x2-x

A: Convert the rational function into partial fraction. Use integration of 1/x dx = ln(x) +c

Q: Evaluate the integral.

A: Given,         ∫coslnxxdx

Q: 3. 6x° cos (x*) dx

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Q: Find the integral m tan -x X 1+x?

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Q: Sy² sin(3y³ + 4) dy

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Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: To evaluate the integral using Fundamental Theorem of Calculus I=∫1311+x2dx

Q: Find the product of the integral 1- L sin(x)ecos(x)-2y dxdy

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Q: The integral S x dx x²+√√x²-1-1 can be transformed to which of the following using trigonometric…

A: Please follow the next step.

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: We have to evaluate the integral given below:-∫-2-1(x-3)dx -(i) using fundamental theorem of…

Q: or show that the integral Integrate the following diverges: Зе In sin x ii) dx COS X 2e

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Q: Evaluate the integral. Tt/3 Jo sin 3x) dx

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Q: or show that it is divergent Evaluate the integral dx 10

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Q: Use symmetry to evaluate the following integral. 7. 2. So- |(3- |x) dx -2

A: The given integral is,

Q: - Prove using integrals Proper tos : e even sin()fc) dx=0 -b 9- For even functions.

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Q: Evaluate the integral / 'cos(æ – In x) dx dy.

A: We need to change the order of double integral

Q: q² In(2x)dx

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Q: Use the Midpoint Rule to evaluate the integral S x² In(x² + 1)dx O 2 In(4) O 4 In(5) O In(10) O 2…

A: Given integral is ∫02x2lnx2+1dx. We have to evaluate the given integral by using midpoint rule.…

Q: Evaluate the integral 3. 2х cos(xy)dydx 2

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Q: 1 X° - 1 - dx In x ах

A: According to the given information, it is required to evaluate the given integral.

Q: In the indefinite integral J 3x²e* dx, the integrand is A 3r © 3x2 D x³+C B.

A: The given integral,    ∫3x2ex3dx

Q: Compute the following definite integral: X-3x+2 dx x2-2x

A: Let I=∫34x2-3x+2x2-2xdx

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Evaluate the following integrals using theFundamental Theorem of Calculus.