3x² ydx + (y* – x³ ) dy = 0

Q: (х3 + 3х)dx х1/2

A: Thus the integration is a process of finding anti derivative of a function . There are basically two…

Q: (2+3x)2 dx

A:

Q: X(35X [En(x) ? dx

A:

Q: dy = 2x(1+y²) ex²

A:

Q: x² – 2x dx

A: Given integral can be written as By using the following substitution we get

Q: dy 2. 7x 2y =

A:

Q: (4cscxcotx + 2 sec² x)dx

A:

Q: dx x²(81+x*)3/4

A: Given integral is: I=∫dxx2(81+x4)34 Let us substitute:…

Q: dy + (1x – 7)y = 2x7 dx

A:

Q: Vx+I dx. Vx +1

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Q: (² X x2 + 4x + 13 dx

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Q: dy y + 3x %3D dx

A:

Q: 2x - 3y = 7 y = 3x – 7 .

A:

Q: dy Find for y = x(4x + 3) dx - |3

A: The function is given by y = x4x+313 To evaluate : dydx

Q: Integrate x sqrt of (x+4) dx using algebraic substitution

A:

Q: find y' for Zy%3D2X-2y

A:

Q: dy y secx + ytanx dx %3D

A: Given differential equation is : dydx=ysecx+ytanx

Q: -dx x +1 2 5.

A:

Q: (1 +Iпx) dx x3

A: The given integral is ∫1+ln xx3dx. Here, u=1+ln x  and  v=1x3.

Q: show that ē ** Jo(bx) dx = %3D 8.

A:

Q: fx x tan x dx

A: We can find the integration using integration by parts as below.

Q: S V2 + 3x da

A: Let 2+3x be t

Q: find (x²-y) dx + y²dy=

A: Introduction: One example of the form is a first-order homogeneous linear differential equation.…

Q: 1 10. dx x² Vx² – 4 -

A:

Q: 1 = f(y-x(2-x))dx 21

A: Given: I=∫02δy-x2-x dxTo find: The value of the given integral.

Q: S (x – 3x + 7x + 9)dx %3D

A:

Q: .2 x² arctan(3x) dx %3D

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Q: Find y". y = x(3x + 2)*

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Q: what is y=1/2tan3x

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Q: 4x3+x dy x 1+2x²410

A:

Q: Find f''(x). f(x) = (x² + 1) ⁹

A: Here we have to find the double derivative of the given two functionsy=(x2+1)9and y=-7x6+1Here these…