Solve the integral equation using laplace

Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

A: Given, ∫046t-3dt To solve the above integration.

Q: Solve the integral shown below. . S | xsin xdx

A: Given problem:- ∫x sin(x)dx

Q: Calculate the integral of 43) °dx.

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Q: rp= dx bo 1. to

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Q: •2 dx

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Q: 00 dx 3.

A:

Q: 1. Jx cos 3x dx

A: Question 1 is solved. Solving more than 1 is against the policy.

Q: Solve the integral by using integration techniques

A: We have to solve

Q: g integral. dx

A: Given query is to find the value of the integral.

Q: dy dx -3J2

A: We have to solve given problem:

Q: Solve the integral- (a) d x (b) Syos sinx an

A: We have to solve the following integral -  (a) ∫x9-x2dx

Q: Find the following indefinite integral. dt

A:

Q: =dx J 4 + 3Vx

A: Given integral is; ∫x4+3xdx Apply long division x4+3x can be written as x4+3x=13-433x+4 So, apply…

Q: Solve for f(x) the integra 1

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Q: Evaluate the integral. /4 tan (e) sec (e) de

A: dtanθdθ =sec2θ ∫xn dx = xn+1n+1+C

Q: Evaluate the integral.

A:

Q: a. Stet*+1 dt

A: As per bartleby guidelines for more than one question asked only first is to be answered please…

Q: Evaluate the integral.

A: Given: ∫ex1-e2xdx

Q: cOs x In(sin x) dx

A: Given,  ∫cos x ln(sin x) dx

Q: Evaluate the integral (1+ etane) Sec?0 de

A: The given integral is, I=∫0π41+etanθsec2θdθ Let us solve the given definite integral using the…

Q: -1)*dx

A: Given  ∫02(x-1)2 dx

Q: Solve the following Integral Equation by Method of Successive Approximation:

A: Given: y(x)=1+λ∫011-3xty(t)dt This is in the form g(x)=f(x)+λ∫K(x,t)g(t)dt In the method of…

Q: sin2t costdt

A:

Q: -In 3 x'e-*dx

A: ∫x2 e-x dx=x2·∫e-x dx-∫dx2dx·∫e-x dx dx=x2·e-x-1-∫2x·e-x-1 dx=-x2 e-x+2∫x e-x dx=-x2 e-x+2x·∫e-x…

Q: -st cosht dt

A: We have to solve the definite integral                                                ∫0∞e-stcoshtdt

Q: 3.) КОЈ о dxdy

A: SOLUTION-

Q: e doe

A:

Q: e doe

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Q: Evaluate the integral. sin +5 dt

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Q: S Sen? (Ln y) dy

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Q: Solve the integral. 1 -dx 6. 3x2 + 2x + 1

A: Here, fx=13x2+2x+1

Q: d) S tanrd. cos³x

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Q: sin° (2æ) cos(2æ)dæ

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Q: Evaluate the integral. integral   sec 6  t  / tan 3t dt

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Q: de 1 + sin 0

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Q: Evalute the indefinite integral

A: To evaluate the integral.

Q: [3x e dx Зх е

A: The objective is to evaluate the integral by parts.

Q: Evaluate the integral. (Use C for the constant of integration.) sin3(0) cos8(0) de COS

A: We will substitution to solve this

Q: Evaluate the integrals ∫(sec θ tan θ) √(1 + sec θ) dθ

A: Our Aim is to evaluate the integral given below:-∫sec(θ) tan(θ)sec(θ) +1dθ  -(i)

Q: Solve the integral. dx 6. - Aear V1 – 4e2x

A: ∫dx1-4e2xFormula:∫dx1-x2=sin-1x+C

Q: (n) /* dx sin? 4

A:

Q: In x dx

A: Given: ∫lnxx2dx Integrate the given integral using the integration by parts formula.

Q: |x| dx 1–x²

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Q: calculate the integral.

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Q: Solve this integral exercise

A: Here the problem is to find the integral of the given function.

Q: In2x dx In4x х

A:

Q: The value of the triple integral

A: Integration is the process of finding the anti-derivative function of the given function. The…