(x²–3)(x²+2) 1. dx x1 2. S a x-8 dx X-2

Q: Find in terms of x and y. dx2 x²y2 – 4x = 3 -2xy4 + 4xy² + 4 dy dx2 x

A:

Q: Find the antiderivative dx/(x2-100)2

A:

Q: 3.b) Evaluate the DE * 3x(xy – 2) dx + (x³ + 2y)dy = 0

A: Given that: 3x(xy-2)dx+(x3+2y)dy=0

Q: a. By differentiating x2 - y2 = 1 implicitly, show that dy/dx = x/y. b. Then show that d2y/dx2 =…

A: The given equation is

Q: Find d'yldx implicitly in terms of x and y. x²y = 4x = 6 dx2

A:

Q: xsin-1x > [4) S*s dx [4] S Y1-x2

A: Here is the solution

Q: x – 8 dx x² – x – 6

A: Find the integral by substitution method

Q: for all of dx 1- y = xvInx 2- y = 3 x(x-2) x²+1

A:

Q: e 2x dx 4e2 – 8e + 5

A: We have to find anti derivative of given expression.

Q: What is f P-(x)dx if the given DE is y(6y2 – x - 1)dx + 2xdy = 0?

A:

Q: Find dy dx 2 for x²exy = 5 WA/

A:

Q: Evaluate dy/dx at (-3,1) for x3+(7+xy)5/2=82/3+y2

A: Given:

Q: S(8x3 + x-3)dx

A: Solve by integration

Q: Solve th D.E using Exact -(3x² – 6.xy)dx +(-3xr' – 2y)dy = 0

A:

Q: Let ƒ(x) = x3 - 3x2 - 1, x>= 2. Find the value of dƒ -1/dx at the point x = -1 = ƒ(3).

A: We will need inverse function theorem. Statement of the theorem is:

Q: Q4 Find dy for all of : dx 2- y = 3 x(x-2) x2 +1 1- y = xvInx

A:

Q: x2+3 is dx (x3+9x+7)3

A: We have to find the antiderivative of given function.  The solution is following

Q: What is the I.F of (2y^2+3x)dx+xydy=0?

A:

Q: Q4. Evaluate : O (xy²) dx dy -√1-(x-1)²

A:

Q: y = (ax-1) (6x.+5]%3 find dy dx 10

A:

Q: Q4 Find for all of : dx 1- y = xvInx 2- y = 3 x(x-2) %3D x²+1

A:

Q: (-4x-12) dx For J x+10)³ (x-4)³ F(x) – 1. What is F(3)? -

A: Given: ∫-4x-12x+103x-43dx=Fx-1   ...(1)

Q: If fe F dr = Sc(x - 2y³) dx + (x²y) dy, what is F?

A:

Q: Integrate the following. x-1 1. S dx /x2-2х-5

A:

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

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

Q: Q4 Find dy for all of : dx 3 x(x-2) 1- y = xvlnx 2- у %3 V x2+1

A:

Q: Find d2y/dx2 implicitly in terms of x and y. x2y − 3x = 8   d2y/dx2 =

A: Consider the given function, x2y-3x=8 use implicit differentiation method and differentiate with…

Q: If f(x) dx = 3 and f(x) dx = 4 what is the value of %3D 5f(x) dx?

A:

Q: dy Find for all of : dx 1- y = xvInx 2- y = 3 x(x-2) x2+1

A: See the details solution in below

Q: 3 Evaluate: ³₂²₁²[z³(x + y)³] dz dy dx

A: When a triple integral is performed, then the innermost variable is integrated first, then the…

Q: arks] (a) Find d dx [1+ Hence evaluate 2x dx. (1+x²)²

A:

Q: d Show that In dx 1 (a) x+2 x* +3x +2 1 (b) Hence find the exact value of dx in simplest form. r*…

A: iii.a. Quotient rule of differentiation states that ddxfg=f'g-g'fg2 Chain rule of differentiation…

Q: Find the most general antiderivative, (5e 3x -4 e-X) dx

A: Integration of the function helps to find the required value of the given expression. Integration…

Q: 5 (a) | x² In(2x) dx (b) x'e*dx 'xp, Jo

A:

Q: 3x 2. S dx Jx2-x-2

A:

Q: 2dy+ydx=y3(x-1)dx (Bernoulli)

A: We have to find the general solution of differential equations

Q: - Trig Sub 1 dx V9 – x²

A:

Q: Find the antiderivative of dx/(49x2+16)2

A:

Q: A. Evaluate Inx dx. 2x B. Evaluate [(7x-10)dy dx. 0 x?

A: Note: Since you have posted multiple questions. We will solve the first question for you. If you…

Q: G. (3x ty - 2)dx + (3x ty +4)dy <0

A:

Q: Find the antiderivative dx/(x2+4)3

A:

Q: dy Find of y = e4-3x + 63x*-2 x+5 dx

A: Given  y=e4-3x+63x4-2x+5 Find dydx

Q: (x) dx = 6 and f(x) dx = 10 , then +3] dx = %3D 2

A:

Q: dy Find for dx 1 y=-=-72-8√x x

A:

Q: The integral X dx Vx2 – 4 3

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

Q: Find the antiderivate of dx/(x2+4)3/2

A:

Q: 2. Find b such that dx 1+x2 3

A:

Q: x2 — х + 36 dx х3 + 6х

A: