dx = cx – bx? dt

Q: Q#01: Find the complete integral of x²p? + y²q? – 4 = 0 using Charpit's method.

A: To find the complete integral of using Charpit's method.

Q: dx b. (x² + 1)(x² – 2x + 1) -

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Q: dx 3. S- х(х+1)(х2+5х+6)

A: Explanation of the answer is as follows

Q: Find the indefinite integral. | t17 dt : +C

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Q: dæ (xº + 2)² The integral is divergent.

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Q: Solve the integral. dx 9. J Ta – x)(b – x)

A: The given integral is, ∫dxa-xb-x To solve the given integral, we use the partial fraction,…

Q: Skx?e*y dxdy

A:

Q: a) If | f (x) de f(x) dx = 2, find 1 (3f(a) – 1) de. = 7 and || - /4 (b) Estimate the value of the…

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Q: x=3 Qs. A: Find * x²dx by using Riemann integral.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Find the integration to de 0. a+bcos² 0

A: Given ∫02πdθa+bcos2θ. The given integrand is even function  We need to evaluate the above integral.…

Q: dx 1. S (x²+1)(x²-4)²

A: Use partial fraction to solve it.

Q: (a) Define a substitution variable u and write / x(x +1)*dx in terms of u. Do not solve the…

A: detailed solution is given below

Q: Solve the separable equation using the integral factor  y⁴ y¹ +y¹ + x² + 1 = 0

A: Given equation is y4y'+y'+x2+1=0solve it

Q: 3. Use substitution to find each indefinite integral. (a) S svs? + 4 ds (b) S(2 – x)e4x-x² dx -8x…

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Q: te the Integral. 1 xV1- x2 dx 14

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Q: Find the integral. (Use C for the constant of integration.) t (294 - t2)3/2 dt

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Q: Solve the equation by Cauchy's integral formula. ez dz z - 5

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Q: Suppose a strange particle travels with a velocity (m/sec) of v(t) = , where t is the time it has…

A: velocity v(t)=1t+1 find the travel between t=1 and t=2

Q: 6) Use the successive approximations method to solve the following Volterra integral equation: u (x…

A: The Volterra integral equation is given as u(x)=x22-∫0x(x-t)u(t) dt. We have to solve the equation…

Q: 48 Calculate the integral (7(t) – g(t))dt.

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Q: Find the integral |(2 + 1)e* dz. (z + 1)e²² dz +C

A: solution is given below integration by parts...

Q: Demonstrate that for the function of the type va? + x2 you use the substitution X-atane and use it…

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Q: Solve the integral equation X = Jo e*-fg(t) dt.

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Q: Use the substitution formula to evaluate the integral. Vx +1 dx B) 2/2 - 1 D) 3/2 - 3

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Q: 1+t dt 1+t²

A: I = ∫1+t1+t2 dtI = ?

Q: Solve the integral: dy dx. x2 H/4

A: To solve: The integral ∫141∫x2xxydydx. Formula used: ∫xndx=xn+1n+1+C Here, C is constant of…

Q: Evaluate the integral. (Use C for the constant of integration.) dt t4 + 10

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Q: Solve the separable equation using the integral factor  Sinx dx + ydy = 0, when x=0, y=1

A: Topic:- application of integration

Q: (1+ 1)? dt =D t3

A: Given : ∫1+t2t3dt

Q: 6) Use the successive approximations method to solve the following Volterra integral equation: 2 и…

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Q: 3 x2 Calculate the integral: dx V5 + a?

A: Given,          ∫3x25+x2dx

Q: dP = 3P + a. dt Assume a is a non-zero constant, and use C for any constant of integration that you…

A: Given : dPdt = 3P+a

Q: 24 S2−3x√1 + y² dydx 0

A: To solve the following iterated integral.∫02∫x24-3x1+y2 dy dx

Q: dx S x2 ( 4. x²+x+1)

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Q: Solve the integral equation f(x) cos Ax dx = e. %3D

A: Given integral is, ∫0∞fxcosλxdx=e-λ The right-hand side is a Fourier cosine transformation function…

Q: 3 2e + 4 sin x a.

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Q: i +j- t3/2 k ) dt |

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Q: Solve for F(x) the integral equation F(x) sin xt dt = {2, 1<t<2. [0, t22

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Q: If V (t) is the amount of oil in a barrel being filled at time t, what physical quantity is…

A: Let's find.

Q: Find the Particular integral of the equation (D² + 2DD' + D² )z = e®-y

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Q: Evaluate the definite integral. *2 e 1/x* dx J1 +s

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Q: 10. Evaluate this integral: ,(t², t(t² + 1)³, te*) dt. You must show all your steps clearly.

A: We have to find the solutions

Q: [2'e'dx X

A: Given

Q: Evaluate the integrals dx Så (4-x²)²

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Q: Use the three-point Gauss-Legendre formula to evaluate the integral dx Ső (2x + 1)²

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Q: Perform the substitution u = 21 + 1 to evaluate the indefinite integral 14e+ dt. Use Cfor the…

A: To evaluate:∫ 14e2t+1dt

Q: Solve the following Integral Equation by Method of Successive Approximation: (5) y(x) = 2(1+x²) – So…

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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…

Q: solve the integral below please. y = 1 + ∫x0 2t(1+y2(t))dt

A: We will find out the required general solution.