the work on this test need page. Pleaser 1. Integrate the following 2z3-4-8 (a)2+4 dr (b)(1-)e" dz

Q: 1. Evaluate the following integral: la 2x³ 2x5-x-4x³ + 1 (a) analytically, (b) single application of…

A: NOTE: As per the guidelines we are supposed to answer only 3 subparts question. Please upload it…

Q: 4. Modify the Euler method to obtain the approximate values of y(3) and y'(3) y" – y' + y = t, 2<t<…

A: Given that    y"-y'+y=t                        1⇒y"=y'-y+t we will solve this problem through MATLAB…

Q: 1 x+1 Integrate: r21?

A: Here we have, I=∫01x+1x2+2x2dx

Q: 1. What should be A for the path independent of (2,4) xy+ ^ dr + 2Ay – x dx + y? fip- (1,2) Moreover…

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Q: & b. su j+ byz²

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Q: Evaluate the integral: Se3+ cosh2x33+ cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 - + C (3e)3 + cosh2x B…

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Q: (r+6)dr 4. S (z+2)?

A: Given: = The indefinite integral is, ∫(x+6)(x+2)2dx To find: -The complete solution of the given…

Q: Evaluate S dz over C, where C: |2+1| =1 O i pi

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Q: 5) Find the general antiderivatives for the following; х-1 dx x* +2х-3 -dx 6)

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Q: What is the general solution of the following ODE y' - (2y/x) = 3x3 Hint: Use integration factor…

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Q: 2 Evaluate the integral S (3x³ – 2x² + x) dx. 1

A: We solve it by integrating polynomial

Q: 1 Integrate with respect to x. 4+ 25(3x +1)²

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Q: 2 1. Find the indefinite integral. Sáre 4x2 | 6xe dx 3 4x a. 2 3 4x2 +C c. 4&r°e*x*+C 2 4x2 +C +C b.…

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Q: れお! /0 fi23)=4 4 (か) 2,十 F) Eanals it Ofiles)= 12 D Not if tha above

A: Given: Fx,y = x3y2 To find: Fx2,3 We know that Fxx,y is differentiation of Fx,y with respect to x ,…

Q: 6 Strange fact: 8(2x) is different from 5(x). Integrate them oth from 1 to 1.

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Q: Queston 3.1.1. use the 2xc to approximete dx. Composite Trapezoidal rule with n=4 integral. 3.1.2.…

A: Let us consider y=2xx2-4. We have to compute the approximation of the integral ∫abfxdx, where a=3…

Q: 21) Find the number of compositions M needed so that the error of the integral 2.2 In(x + 2) dx is…

A: Simpson's rule can be used to approximate the value of the integration using numerical integration.…

Q: 1 Find an antiderivative of 9 x¹ +4 x6 ار داشته in the variable x where x > 0.

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Q: The integrating factor of the given DE are already given below. What is the value of "n"…

A: A differential equation is an equation that relates the variable and it's derivatives. Solution of…

Q: The integrating factor of the given DE are already given below. What is the value of "n"…

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Q: 3. Integration by parts a.S 18x ( x+ 4)3/2

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Q: What is G = xy ax – x²y ay + 2y az at B(3, –4, 1), expressed in SCS?

A: Given: G→=xy ax-x2y ay+2y az -----------(1) Where, Bx,y,z=B3,-4,1 --------(2)

Q: 1. Evaluate the integral [(4z° +3z2 +2z– 6) dz

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Q: Evaluate the integral: e3+cosh2x33+cosh2xsinh2x dx (Α) (3e)3+ sinh2x 2+In3 + C (3e)3+cosh2x B 2+2ln3…

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Q: Only one of these calculations is correct to evaluate the definite integral | Vx²+1 dx Using the…

A: Given: ∫-13x2+1dx Solution: Here, fx=x2+1a=-1b=3n=4h=b-an=3+14=1 Now, we know,…

Q: 3 c3 4. Evaluate the integral S ex+ydydx '2

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Q: Evaluate the integral : S 8x2+10x-6 (x-1)(x+1)z dx (2—1)(ӕ+1)? +C

A: Given: ∫8x2+10x-6x-1x+12dx To do: Evaluate the given integral.

Q: 1. Evaluate the integrals (a) fxsin 2xdx, (b) f(3x - 1) eª dx, Hint: Use the Integration by Parts. 3…

A: SOLUTION-

Q: 2. Integrate: S w5 V7+ w3 dw 3. Find S (6-+ - sV) de

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Q: ar integral of the c 3 – 7D2 + 7D – 2

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Q: Is there a way to solve this w/o using L'Hospital's rule?

A: Solution

Q: Integrate the following: ,S (x4 – 5æ³ + 6) dæ - 1. So(1- r)*dz su(1– 2.

A: These questions are related to indefinite integration, we will use use integration formulas and…

Q: 3+ Evaluate the integral: Se³+ cosh2x33+ cosh2xsinh2x dx (3e)³ 3+ sinh2x A + C 21n3 (3e)3 + sinh2x B…

A: Application of integration

Q: 8. Compute using the trig. substitution S x2 -dx (1–x²)1/2

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Q: 2): Consider the DE y" – y" – 6y = 0 -

A: Follow the procedure given below.

Q: 8x + 1 10. Evaluate the integral / dx. 4.x2 + 12x + 10 11 (a) In |4.x2 + 12x + 10|| tan-(2x + 3) + C…

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Q: Integrate f(x) = 0.5 + 20x + 3x4 from a=0 to b=3, given N=12 by using a) Simpson's 3/8 approximation

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Q: per integral test, (-1)" A) Σ B) none of these en (-1)" dz behaves like

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Q: Find the following antiderivative. far 5z + 7dx

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Q: 4 In GL(2,Z13), det 1 4

A: We have to find the determinant using GL(2,Z13) That is, instead of usual addition and…

Q: E valvate cox³ (x²+3)dx 2.

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Q: Evaluate the integral: e3+ cosh2x33+cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 + C (3e)3+cosh2x B 2ln3…

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Q: If you are trying to solve f et dx and you let u = e then: dv = du = v = vdu Write down the uv –…

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Q: 8. Evaluate the integrals. * Sx³ (x² + 1)5 dx

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Q: Find dr. J (1+z²)3/2 - In Vx² + 1 + x| + In |Vx² + 1 + x| - Ja? + 1 +c Vx² + 1 O Option 3 Option 1…

A: Let I= ∫x21+x232dx Let x=tanθ ⇒dx = sec2θdθ Substituting this in I, we get

Q: Find the integration inner product on C[-3,3] of the given functions. f(x) = 16x g(x) = 3x² (f, g)…

A: Explanation of the answer is as follows

Q: 2. We want to evaluate e¹/x dx using the composite trapezoidal rule with three decimal precision,…

A: Introduction: In numerical approximation, there is always an error between the approximate value and…

Q: In order to maximize tomato yield we are interested in whether using different cultivars of tomatoes…

A: Solution: Given information: k= 4  groups  Five plants of each group  n1=n2=n3=n4=…

Q: In ( x² + 3x -=-7) dx X-2 Evaluate the integral: Se Ⓒ + A x² 2 =+ + In|3x-6|+C ℗ +² +5x+3n|x-2/+C B…

A: To find out the integration.