x2 8. Use the Integration Tables find f dx (2x-7)2

Q: Find dy/dx by implicit differentiation.   1) x3 + x4y4 + y7 = 5   2) x^2 / x+y = y2 + 7

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Q: dx 4 + x2 Use integration by parts

A: We have to use integration by parts .

Q: x? + 2x – 3, What is the first step in integrating x + 1

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Q: SOLVE USING INTEGRATING FACTOR (2y² – 3x²) d x + (2x² – x y) dy = 0; y (1) = 1 9.

A: Let's find.

Q: Evaluate.cuse C for the Constant of integration). 40 t6x-X dx

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Q: The integrating factor of y= 2x' is dx

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Q: integrate by parts f(x)=x2e2x dx

A: f(x)=x2e2x dx To integrate the given function by parts.

Q: 1. S(3 – 2x – x*) dx

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Q: Sx ncz)dx

A: Integration By Parts : ∫u(x)·v(x)dx=u(x)·∫v(x)dx-∫u'(x)·∫v(x)dxdx ILATE Principal is Preferred to…

Q: 3 2x+3 Integrate the following function: y = dx x²+3x-5

A: An integral expressed as the difference between the values of the integral at specified upper and…

Q: S sec x dx Use Integration by parts to solve

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Q: 2x dx ex+3

A: ∫e2x dxex+3

Q: x2 dy dx by reversing the order of integration. 4/x 1. Evaluate

A: Given double integral is∫14 ∫4x4x2 dy dxNow , By interchanging the integral we have ,∫y=14…

Q: se C for the constant oT integration.) (7 cos x + 3 sin x) dx

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Q: 2x(y + 1) dx – ydy = 0 when x = 0, y = -2 %3D -

A: Here differential equation is given as 2xy+1dx-ydy=0or2xy+1dx=ydy⇒2xdx=ydyy+1⇒2xdx=dy-dyy+1

Q: 8x 4х Q5. Use integration by part to evaluate fe* sin (e** )dx

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Q: Sz x² sin 2x dx (Integration by Parts)

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Q: If  f '(x) = x4,  what is f(x)? (Use C for the constant of integration.)

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Q: dx 2. S; x²-4x+5

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Q: 7. f(x) = sech"(vi-x) 8. y = sech Inx

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Q: (y5 – x²e») dx dy -11-3

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Q: x 3 X 14.J. J16-x 2 -dx V16-x² dx 15. Vx -1 4

A: Use integration rules

Q: x – 4 (g) dx x² + 6x + 2

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Q: Differentiate the function. (2x + 3)5 y = (4x + 1) dy dx

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Q: -√x Q3. Change the order of integration and evaluate f* f* dy dx.

A: We can solve as follows

Q: dx 15. S (x²+36) ³/2

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Q: If f'(x) = 4x°, what is f(x)? (Use C for the constant of integration.) f(x) = %3D

A: It is known that ∫xn dx=xn+1n+1+C provided n≠-1. Given that f'x=4x3. Integrate as follows.

Q: (2t – 3)·e -t²+3t dt 3 2/Inx dx . X (2у-3)12

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Q: Use integration by parts for both.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: (b) Evaluate f 3æ“ In6x dx using integration by parts.

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Q: Solve by integrating factors found by inspection: y (x2 - y2 + 1)dx - x (x2 - y2 - 1) dy = 0

A: To solve: y(x2 - y2 + 1)dx - x(x2 - y2 - 1)dy = 0 ⇒yx2 dx- y3 dx+ y dx - x3dy +xy2dy +xdy = 0

Q: [ to y²-Xy flo dy 2

A: 1st we will use substitution and then integration by parts   ∫u.v dx=u∫v dx -∫dudx∫v dxdx

Q: If f'(x) = 5x*, what is f(x)? (Use C for the constant of integration.) f(x) =

A: To find the integration

Q: dx 62 + x² Integrate:

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Q: Calculate the integration y+1 dydx

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Q: Paragraph 12) S, dx Sx+7

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Q: Evaluate ∫12xex dx using integration by parts with u=12x and dv=ex dx. Give only the function as…

A: Here, we are trying to integrate the product of the functions 12x and exTo use the integration by…

Q: Write the general antiderivative. (Use C for the constant of integration.) 29e2.9x dx

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Q: t of integration.) dx 5 + v2x

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Q: - 1) (2r + 1)½ (4x – 1) dx Perform the Integrations

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Q: Use integrating factors to solve (x² + y² + x)dx + xydy = 0.

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Q: 18) fvī dx 19) f se'de 3e dx 20) (3x - V5x + 2) dx

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Use integrating factors to solve (x² + y² + x)dx + xydy = 0. %3D

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Q: (メ2メ+Sx )dx h- Cos3x dk 120 x3-XSinx+ CusX dx C. 130 x41 (2メーリdy

A: As per our policy, I can only provide you solution for first three parts, but part (c) is not clear…

Q: x +1 Evaluate the integral dx. Vx2 + 2x + 3

A: Note: for given integral none of the option is correct match.I have solved as per integration by…

Q: The integral X dx Vx2 – 4 3

A: To evaluate the given integral.∫12 xx2-43 dx

Q: (B): Find the integration by using substitution method √x√2x-1 dx

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Q: 4/x e dx 4 2.

A: The given integral is Apply the method of substitution Let Therefore,the limits also get changed…

Q: Using integrating factor, solve dy/dx + 4/x . y = x

A: topic. - differential equations

Q: 19. Use integration tables to find J(6x +7)*/(6x +7)² +16 dx

A: