Q3/ Find the complex integral 3+i z2 dz 0+0i Along the path 1 y ==x 3

Q: Evaluate the integral.

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Q: 4. If integration using u-substitution technique is used to solve for correct choice for u? (a) u =…

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Q: S 6x®cos (x³) dx „8, ,3•

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Q: Express a general solution to 2x(1 – x)y" + (3 – 10x)y' – 6y = 0 Using Gaussian hypergeometric…

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Q: B: By using Homogenous method solve the first order differentia еquation (1+ e») dx - e"l> -1) dy =…

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Q: 1) = sinx + ytanx dy dx 2) x = y + x sin? 3) Prove that (2xy – 9x2)dx + (2y + x² + 1)dy = 0 is…

A: 1   dydx=sinx+ytanx        the equation can be written as standard form        dydx-ytanx=sinx…

Q: 3 1 Evaluate the iterated integral 12x -1 0 3 1 °dy dx = -1 0

A: Evaluate the iterated integral.       ∫-13∫0112x2y3dy dx

Q: Find the general solution of (y² + 2y) sin æ²dæ + dy = 0. y+1

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Q: Evaluate the integral. dx 1

A: givenI=∫13x2dxwe know integral formula∫xndx=xn+1n+1+C

Q: 1. 3(3x2 + y²)dx – 2xydy = 0

A: According to our guidelines we can solve only the first question. Please re post the other questions…

Q: 2z+1 37 Prove the equation through integral calculatipns. dz < 5+z? 2

A: We will do the proof step by step.

Q: 1. S(2cos4y – 1)i - sin4ydy

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: 0 3 Evaluate the iterated integral | (19x + 12y + 1)dx dy. -2 -3 0 3 | (19x + 12y + 1)dx dy =|…

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Q: hello! can you help me with this calculus problem?

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Q: Q.2// Find (A) f sin¹ (x) cos5(x) dx (B) f 4t³-t²+16 t t² +4 dt (C) Use improper integral to find ²…

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Q: Find the solution asked using the process of Homogeneous. (16x + 5y)dx + (3x + y)dy = 0; the curve…

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Q: Use the Bisection method to find the solution accurate to within 10-5 for 2x cos (2x)-(x+1)230on…

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Q: 1. Obtain the General Solution. Use reduction to exact. Simplify your fin y(y + 2x- 2) dx - 2(x +…

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Q: Evaluate 1. 2. the integrals: (1-cos²x) 3/² dx Se* sec³ e* dx

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Q: 4 5 1I (2x + y)² dydx Evaluate the iterated integral 3 4

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Q: 3,2 Evaluate the integral xx + x +2 dx%3D

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Q: Find the general solution using Reduction of Order: y''+y'=cos 3x

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Q: 5. Find the integral 1 -dx x -5x +6

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Q: Evaluate the integral (2a+4)(x² + 4x + 2)*dx 4 by making the substitution u = x+ 4x + 2. ,2

A: Let u=x2+4x+2, now differentiate it with respect to x. du = (2x+4)dx So,…

Q: 2x dx ∞ (x²+5)3 Evaluate the integrals that converge Identify the conic write in standard form and…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate the integral. ,3π/2 20) 6 cos 2x dx T/2

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Q: 2/3–2 dx integralinin değeri x² + 4x + 8 aşağıdakilerden hangisidir?

A: The integral can be solved using completing the squares method. Since the integration is definite…

Q: The second order homogeneous Cauchy-Euler equation defined by: 2d²y +bx- dy ォマ +cy=0 dx2 dx (ay"…

A: We have to choose the correct answer

Q: 9. Evaluate the integral ex V2e-2x – 3e2x 2/2e-2x – 3e2x +C А. 1 3eªx – 2+C B. 2/3 Arcan V3e2x…

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Q: Obtain the solution using Integrating Factors Found by Formulas. 2(2y2 + 5xy- 2y + 4)dx + x(2x +…

A: We can solve this using integrating factor

Q: iax Solue the integral complex path integreil (Residue) 4. dx with the -x2 +2ix +1 method.

A: A

Q: 17. Using Runge-Kutta method of fourth order, solve dy y2-x2 dx y2 + x2 | with y(0) = 1, at x = 02…

A: Numerical methods: Ruge-kutta method

Q: 2(y-4x2) dx + x dy

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Q: Solve ởy ôt y (x, 0)= 3 sin 2n x, y (0, t) = 0 = y (1, t); 0 0. %3D ốt

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Q: Solve the line integral if path A is a0- (-2+2i) Al= 0+2i A2= 0-2i A3 - 2-2i (3+ 2 )' dz A

A: In mathematics, a line integral is an integral where the function to be integrated is evaluated…

Q: Evaluate the integral. dx xVx2 -6 sec" 13 x| +C O sec" 13x - 6| - C sec +C 6. sin 3 x+c 6.

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Q: (2 |2* 2 –1 – 1|x dx

A: Topic:- Definite Integration

Q: y" +y' = cos 3x

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Q: Find the solution of the DE using reduction Order (D2 + 4)y = sinx

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Q: 1 .2 2 dx = 0 xe 0- -

A: Given: 12π∫-∞∞xe-x22dx=0   We know that; ∫eax+bdx=eax+ba+C     Note: As per Bartleby guidelines we…

Q: Find the particular solution of dy - 2y = x³ sin 4x, y(1) = 2. dx %3D -

A: Using method of Linear Differential Equation.

Q: 2. Evaluate the integral: 2xe-**dx -0

A: topic - integration

Q: The result of the integration sign(t-t)6(2r- 1)dr is 1 А. B. sign(t- C. 8(2t+1) D.sign(t +)

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Q: 21.3 xdx V16 - 9х4 0.

A: We to integrate the given integration.

Q: 2. Use symmetry to evaluate the given integrals. -200 A) S, 2x5 dx -200 В) cos х -п/4 B) S"/ cOS x…

A: A) ∫-2002002x5 dxB) ∫-π4π4 cos x dx

Q: dx-(it 2x tany) dy-0

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Q: Evaluate the integral 1 2 (5e Vx - sec 2) dx. ух е XM

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Q: Q.4 Using the method of substitution the integral fxer-3 dx

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Q: Sove the differential equathons (x+ 2y -1) dx-(2x+y-5) dy =

A: Homogeneous equation to reducible form :                dydx=ax+by+ca'x+by'+c', provided ,…

Q: dy dx (xy + 1)2 9.

A: Given- ∫01∫01xxy+12dydx To Find- The value of the above integral. Concept Used- As the above…