= Solve the following integrals:- dx (2) dx

Q: Solve the following Integral Equation: x(0)= 3 =-t +

A: Given ∂x∂t=-t+∫0txtdt with x0=3 We will solve the differential equation using Laplace transform

Q: dx VI + V

A:

Q: In the given equation as follows , use a table of integrals to find the indefinite integral:-   See…

A: Evaluate: ∫x23+25x2. Convert in the form: ∫av2a2+v2 by taking 25 common from the square root.…

Q: 42x 4. Jx*e2" dx

A: To Evaluate:

Q: 3 2 4x 6. S x´e* dx

A: ∫ eau du = 1a eau +C ; where , 'C' is an integration constant .

Q: Solve the following integrals with detailed steps: dx a. x²/4+x² dx S - (4-x²)ž b.

A: a). ∫dxx24+x2 Put, x=2tanθ⇒1=2sec2θ·dθdx⇒dx=2sec2θ·dθ Therefore,…

Q: 8. Solve the following integral: S xe3a dx.

A: The given integral is ∫xe3xdx

Q: Find the indefinite integral. + 10x – 6) dx = +C.

A: We have to evaluate the  given indefinite integral.

Q: 5. S(x + 1)(x³ + 3x + 2)®dx

A:

Q: In the given equation as follows , complete the square and find the indefinite integral? See the…

A: Assume or convert x in some from to make the equation more easy to solve. Then perform integration…

Q: Solve the following integrals with detailed steps: dx а. x²/4+x2

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: (x²+1)³ .dx

A:

Q: 5 (x² + 1)ž dx x8

A: I = ∫x2+152x8dxI = ?

Q: Solve the following Definite Integral 10.) ,(x² +3)dx

A:

Q: Solve the following integrals with detailed steps: dx a. x²V4+x2 dx (4-x²)7 b.

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Q: Find the integral for the following functions: - S exp(ln(2)2x)dx

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Q: 2 x – 4 dx .2 1

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Q: In the given equation as follows , use a table of integrals to find the indefinite integral:-   See…

A:

Q: x' +4x + 3 dx x* + 5.x? + 4

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Q: 1. S7e*dx = 7et 2. S(5e* 6*)dx 3. § 3(5*)dx:

A:

Q: Solve for the following integral: 1 -dx (e2x – 4)5/2

A: I=∫1(e2x-4)52  dxu=-2xdx=-12 duI=-12 ∫due-u-452v=e-u −4dv=-e-u du-dv(v+4)=duI=12∫1v52 (v+4) dv

Q: Solve the integral: 3√x x² dx

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Q: Solve for the integral of the following using substitution and integration by parts. ∫2x3sin(x2)dx

A: This question is related to indefinite integration, We will solve it using given information.

Q: Q2: Solve the following int (1) dx 1 (x+3)(x+7)

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

Q: Solve the integral. x +1 -dx 4. 4 + x2

A: Our Aim is to integrate the expression given below:-∫x+1x2+4dx -(i)

Q: (1) sin?x dx

A:

Q: /2+In x dx

A:

Q: 3 what method would be used to solve this integral and why? osex cosex) dx 2 dX

A: Given: (a).∫excos2xdx(b).∫x2x2+9dx

Q: dx -2 (5-4x- x²)2

A:

Q: x + 4 dx = x' + 4x

A: Given, ∫x+4x3+4xdx Now we take the partial fraction we get, x+4x3+4x=Ax+Bx2+4…

Q: 1 dx = 4 + x

A: To findI=∫19+x24dx

Q: Find the indefinite integral. x + 7x2 + e) dx

A: The sum rule of integration states that ∫a+bdx=∫a dx+∫b dx. The constant rule of integration states…

Q: dx

A:

Q: 2: Solve the following integrals: - 7x² +14x+15 (x²+3)(x+7) dx ; 1) S

A: Given: ∫7x2+14x+15x2+3x+7dx

Q: Solve the following integral xe* dx 1

A: Calculate the integral         ∫12xex3 dx

Q: Solve the integral: √√ 3√x dx x²

A:

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx dx 2. xV4-x?

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Q: x² -25 dx 3x+15 e)

A: Given integration is : ∫x2-253x+15dx  To find the value of integration.

Q: 00 e-st cosh t dt

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Q: Sx²e=* dx Sx²e¬

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Q: dx 1+ x6

A:

Q: Vx* +4 dx 2 x +4

A: From the given integral: I=∫dxx2x2+4  ......(1) Use the trigonometric substitution to find the…

Q: L(3x+e")dx Jo

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Q: 3 Sösin(1|3 – 2x|)dx

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Q: Solve the integral: 1 √√√√√x+x dx

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Q: Solve the following Integral Equation: -t + x(0) = 3 %3D

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Q: 4 dx x2 ts

A: ∫13x4+1x2dx Formula ∫xndx = xn+1n+1+C

Q: х+1 dx 3 2 2 25 - x

A: