Prove the inequality below by using properties of integrals. S2 xsinxdx VI

Q: use substitution to compute the following integral. ∫ 3?^2(?^3−4)^10 ??

A: Given integral I= ∫3x2x3-410dx

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

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Q: Evaluate the integral of e^(2lnx)

A: We simplify  e^(2lnx) first.

Q: Noting the range of the integral, compute .2 Jo (2² + 9)2dx.

A: By using inequality of integration

Q: Evaluate the integral. S (2 - VI) dr

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Q: Evaluate the integral: So " (10 + 2z? + 2y²)dx dy. 160 3. 100 3. 110 3. None of these. 140 3

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Q: B. Solve the following integrals. 2.) fevdxdy

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Q: 4. Use properties of integrals to verify the following inequality: 4. /4 sin xdx s 24 24 VI

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Q: Q2/ Evaluate the following integrals by using Tow – points Gaussain Quadrature So 1+x dx

A: In this,we find the value of the integral by using two points gaussian quadrature formula.

Q: Evaluate the integral by making an appropriate change of variables.   3e9x + 9y dA,   R where R is…

A: Consider the provided information, Where R is given by the inequality 9x+9y≤9. Apply the…

Q: 2 Evaluate the integral | (1– |æ|) dæ by interpreting it in terms of simple areas.

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Q: 5x х? — х — 6

A: Integration by using partial fraction

Q: Evaluate the integral ∫√a2−x2dx / x2.

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Q: S |8:xydxdy y=-2 x=1

A: For the following problem,

Q: Evaluate the integral by making an appropriate change of variables. 7er- da, where R is given by the…

A: We have to evaluate integral of the give region. We will  make first of all diagram of given…

Q: Vhich of the following integrals is equal to the integral f(3x - 5) dr?

A: Use simple integration concept.

Q: Evaluate the integral 3 -x a. So Sox² exy dydx 0

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Q: Use trapezoidal and Simpsons rule to evaluate the integral given, by taking n=6 and h=1

A: Given that, the integral is ∫01x+21-x2dx and n=6. Obtain the value of ∆x=b-an. ∆x=1-06=16 Divide the…

Q: Use geometry to evaluate the following integral. 7 2x f(x)dx, where f(x) = . if 1sxs3 9- 2x if 3…

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Q: Prove the following inequalities. Do not evaluate the integral -x² + x +1 5 dx s 4 1+ x4

A: Consider the given inequality: Since, 0≤x≤10≥−x≥−1−1≤−x≤00≤1−x≤10≤1−xx1−x≥0    ∵x≥0x−x2≥0…

Q: хах x2+x+1

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Q: The approximated value for the integral 0.52dx when using Simpson's rule is- None of them O -0.267…

A: The Simpson's formula states that ∫abf(x)dx≈b-a6fa+4fa+b2+fb. The given integral is ∫00.52x-4dx.…

Q: Evaluate the integral. P(p + 6)°dp P(p + 6)° dp = %3D

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Q: Q3 - Evaluate the following integrals i. S7 xp V9-x2

A: Use substitution method

Q: Evaluate the integral (1 + 2y)ªdy.

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Q: Evaluate the integral √(4 by making the appropriate substitution: u √ (432² dx [ X (4x² + 11) 7 = X…

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Q: evaluate the improper integral 2/x*sqrt(x^2-4) where x is 2 to infinity

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Q: Evaluate the integral 0 2 0 2-x xdydx.

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Q: Use the property of definite integral to the derive the following inequalities: b f(x)g(x)dx <…

A: Given :

Q: Evaluate the improper integral da, if it exists. (22 + 49)2

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Q: The triple integral ¹²-x² √4x²-y x dzdydx is equal to 0.33 0.08 None of them O

A: Let's evaluate given triple integral.

Q: 3) Use the definition of the integral to write n k п lim k k=1 n as an integral. Do not evaluate…

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Q: Q3: Evaluate the integral of f +Ty sdy

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Q: (b) Determine the area between the x-axis and f(x) x2-7x + 6, on the interval 2, 61. (c) Given that…

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: Use the technique of completing the square to evaluate the following integrals. x- 6x Show your…

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Q: хӑх 6. S 1+x4

A: solution.

Q: 17. Evaluate the integral. n x)²dx

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Q: S(2 + vx)³ Vxdx

A: See the details solution in below

Q: Evaluate the integral.

A: Our Aim is to evaluate the integral given below:-I=∫xe2x(1+2x)2dx  -(i)

Q: Determine the integral of the ff. fun 1. S- 6 dx 2. S 5 x4 dx 3. S ( 4 x7 + 7 ) dx

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Q: Evaluate the integral.

A: Here given integration can be written as…

Q: 3- The value of the integral , by using simpson method andn 3 is 0.96375. F TO

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Q: Solve the integral equaher by eliminating the Inkegral = -3+) (3t -3ty(t) dt. = -3 for when ansusemg…

A: Differentiating both sides of equations. Differentiating integral using leibniz's rule.

Q: Evaluate the integral.

A: Integral:∫2xxdxLet, x=z      12x dx=dz

Q: Evaluate the following integrals. Show all the necessarv or complete solutions p6+ 7x5+ 15 x*+ 32 x³…

A: Given integral is ∫x6+7x5+15x4+32x3+23x2+25x-3x2+x+22x2+12dx we can write it as…

Q: Evaluate the integral гЗл /2 [2 Choose... + r.r dr de л/2

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Q: Evaluate the integral. x dx (7x? + 3)°

A: Our Aim is to evaluate the integral given below:-∫x7x2+35dx-(i)

Q: the integral of dzwhere e is and 9-x S

A: by using Residue theorem we can solve the given complex integral

Q: Evaluate the integral by making the given substitution.  x^5/ (x^6-7), u=x^6-7

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Q: Use symmetry to evaluate the following integral  (x^3+2x^7)/(x^6+4)  [-3,3

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