dx using gauss legendre 3 dots

Q: Q1: * Evaluate: xe*dx? 1 Add File Q2: Using Trig. substitution: * Evaluate: -dx? 1 Add File Q3:…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (d) Find E[XY]. (e) Find Cov(X,Y) and Corr(X, Y).

A: The bivariate distribution of two variable X and Y are given

Q: /9– x² using Trigonometric Substitution what is dx ? onsider x2 3 sec e de P 3 cos e de O 3 sec e…

A: Topic:- application of integration

Q: 1) sin C

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Q: Homework I. Find dy/dx of the following: 4. y=V1+In²x 5. y= sin (In.x) 6. y = In(Inx)

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Q: iCN Bf the following represents its different (a) = sin x (b) dx dy (c) =y- =ーツ (d) dr dy =x +y (e)…

A: Consider the curve in (a) dydx=sinx. In first quadrant, x>0,y>0. dydx=sinx>0 Therefore the…

Q: sin(z) = %3D e-e-z 2i eiz-e-iz et +e-iz 2i et-e-iz | 2i

A: According to Euler's relation eiz=cosz+i sinz and e-iz=cosz-i sinz. This relation is obtained by…

Q: Using n =8 approximate the value of cos (1+ V )dx using (a) the Midpoint Rule, (b) the Trapezoid…

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Q: cos bx – cos ax Evaluate -dx, a>b> 0. x2 ANS. л(а — b). |

A: Given integral ∫−∞∞cosbx−cosaxx2dx, where a>b>0 Let Ib=∫−∞∞cosbx−cosaxx2dx...…(1) Here,…

Q: 1 dx by Simpson's rule using eleven 3. 5. Evaluate 1 + x ordinates.

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Q: Find the following. 5) dx (13,5 + 5) dx = (Type an exact answer.)

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Q: dx Using Trigonometric Substitution J- 3 sin e+C express the answer in terms of x. (x² + x + 1) 2 4x…

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Q: 8x * e-9x dx Use the technique that we went over in class to find "u", "V", and "du".

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Q: sin [cot(4e¬4*)]cos*[cot(4e¬4*)] dx e^x sin²(4e¬4x) Let u = cot(4e¬4x) %3D

A: Solution: Let the given integral is I=∫sin6cot4e-4xcos4cot4e-4xdxe4xsin24e-4x ......(1) Substitute…

Q: dx (Integration by Trigonometric Substitution)

A: The given integral is: I=∫1x2x2+4dx Substitute x=2tant⇒dx=2sec2tdt

Q: e inverse Fourier tra |w| e 2 3 N

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Q: a. If the Fourier sine of e-a is s2+a? then using Parseval's Identity evaluate the value of f w…

A: Given that Fourier transform of e-ax is 2πas2+a2. The objective is to find the value for…

Q: 1. dx Find the value of a so that %3D 4 1-x2 %3D

A: Topic:- calculus

Q: s s 3 dx Find S°

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Q: cot e dv 3. (v +9) 1- cot -cos e

A: The objective is to evaluate the integral.

Q: 1 |Leax sin(bx)] eax [a sin(bx) – b cos(bx)]+ C * Using the formula dx = ах a² + b². Sie [e-8x…

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Q: Compat dx n=4 Trapezoida 1599780 Sinipson's exact

A: To Determine: Find the value of given integral by using Trapezoidal rule & Simpson's rule.…

Q: Using Gauss Mean Value Theorem, find 1 sin (7/6 + 2e") d0. (Ans. 1/4)

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Q: (ar) +k sin (ax) kI +sin (ar) а cоs Evaluate dx e-

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Q: Sin fG.4) = Cc.g)=D(0,0) is corfinuos af (0,0)

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Q: 3 -1/5 dx Evaluate a L/t

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Q: Gauss-Seudel only

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Q: 9- x2 dx using Trigonometric Substitution what is dx ? x2 Consider 3 sec e de 3 sec? e de 3 cos e de…

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Q: dx Sine substitution Evaluate- (16 – x²}3/2*

A: Given:∫dx16-x232sine substitution

Q: y4 – 2xy) dx + 3x²dy= 0

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Q: Recoll that e ošx Find S orecosx. 1/2 x sin(coi'x ) de

A: ∫012xsincos-1xdx

Q: Using the gamma function, find 2 xe-x dx A) B) C) ** 4 D) NI 2 E) none of above 2.

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Q: cos a Jsin a

A: Given: ∫cos5αsinαdα =∫(1-sin2α)2cosαsinαdαApply u-substitution u=sinα…

Q: C. Trigonometric Substitution. 9-у 1. dx 2. e2x+1 r2+VZ 3. (2+vz х. 4х — х2

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Q: What method(s) can be used to find z+5 dx? Select any that apply. T-3 O long division Trigonometric…

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Q: Q: Use Lagrange's Formula to Prove that :

A: Solution: We know that Lagrange's interpolation formula for unequal intervals is, f x =  x-x1  x-x2…

Q: aw C. If w=f(x,y) and x=1. cose, y=1. sine. Prove that aw +1 (0)² = x² + ²

A: Using chain rule

Q: sin B) S diverges A) S

A: sin(x) =x - x33! +x55! - ........................

Q: 20. Given: S 10 -dx Find: formula

A: Here we have to integrate the given function.

Q: du -(cosh u) = dx "(sinh u). dx dx A True B) False

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Q: V. Inverse Trigonometric dt 1. S tvt²-a² (t²+1)dt 2. S (t²+4)

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Q: 2. S- (1+ 2x-x2)ž 1. dx (Trigonometric Substitution)

A: As per our guideline we are supposed to be answer only one question you can repost other question is…

Q: (X siny) dx tx+) cosydy= Solue the eqution

A: The given equation is: xsinydx+x2+1cosydy=0

Q: sin 4 -dz when C, : i) {z e C:z-1: -1 ,ii) {z eC://|= 3}

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Q: In x dx - (a) Find /- (Please explain your answer). x/1-4 In x – In? x (b) Find / cot x cosecx dx…

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Q: a. Use the definition to calculate 2x – 3 dx using right endpoints x = a +kAr . b. Verify your…

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Q: Question attached as photo

A: To verify the values of the given definite integrals

Q: (5x² + 1)²(10x) dx Identify the u and the du:

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Q: 3. x/1+x° 1 dx (use trigonometric substitution)

A: sec2θ -tan2θ =1 ∫cosec(θ) dθ = 12lncos θ-1cos θ+1+C

Q: 10 dx = (Type an exact answer.)

A: Substitute t=x10+1 in the given integration Then dtdx=110⇒dx=10dt