*=and y(e) = -2 Find y(e³) dx

Q: 1 dx - X+ 4x - 3

A: Given: ∫1-x2+4x-3dx

Q: dx 3. If 8c²xy = (x² - y2)2, find- dy

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Q2. Integrate dx

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Q: S sec*x csc*x dx

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Q: dy 3. + y = e3x dx

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Q: STox -x* dx 2.

A: To Evaluate: ∫6x-x2dx

Q: (ve-2x + y²) dx - e-2x dy = 0 6. (ye

A: We need to identify the given first order differential equation as homogeneous, Bernoulli, linear…

Q: e dy dx У-х+1 У-х +5

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Q: LDE with Constant Coefficients dªy dx4 + 2y = e-* + xe-* dx dx2

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Q: evaluate the triple iterated integral.

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Q: d) х =dx Vx² +1 - (Inx)* -dx

A: We use substitution method

Q: (4) fxe-x dx

A: Given: ∫xe-xdx

Q: -) S xe²*dx .2

A:

Q: Find ∫ x2 e-x dx

A: Given : ∫ x2 e-x dx

Q: * - 1 2. Solve dx y +1

A: Given: dydx=ex-1y+1.

Q: Find S н - 2+ dx

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Q: Solve  (dy/dx) = e2x+y

A: The given differential equation is dydx=e2x+y

Q: | 2xe -x dx =

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Q: Q2\ find when y = dx x²-1

A: y=xx2-1⇒y=x12x2-1⇒y=x1212x2-1⇒y=x14x2-1

Q: x3 dx J4- x4

A: ∫x3dx4-9x4Multiply & divide by -36 =-136∫-36x3dx4-9x4since, ∫f'(x)f(x)dx= 2f(x)

Q: e4z+1 dx e2r – 1 17.

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Q: αdx = x x2-a2 dy

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Q: 2 S (a+ dx x - х — а

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Q: |(x'-x)dx=-

A: First I have split the integral in two parts, then by rule of integration find the solution.

Q: G of value raph using tables Y=Dx²-9

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Q: 3x dx V1-x

A: Integral is given

Q: Find for the equation below. dx 6x2 - xy- y' = 6

A: In the question it is asked to find dydx of the following function given in the question.

Q: dx (4) | J - Va

A:

Q: Find dy/dx.  s = t4 - csc t + 14

A: Consider  s=t4−csct+14

Q: dx S x-Vx2+1

A: Given that, ∫1x2x2+1dx

Q: 2 /x_ e-x/4 dx, T20

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Q: find dy dx X2+ уг — -- =4 Ч

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Q: xペ-SX dx x2

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Q: y 1+lnx+ dy Solve dx 1-lnx

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Q: If x3+y3=19, find the value of d2y/dx2 at the point (-2,3).   The value of d2y/dx2 at the point…

A: x3+y3=19 Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: V -dx x² + 2

A: Given, I=∫xx2+24dx

Q: | (e-x + vx)dx 1. 2. x²)dx

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Q: dx 1. S V-x2+ 6x + 3

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Q: Find dy =dx when y= (x² – 5x + 7)*

A: Derivative of the function

Q: 1 T/ -dx 6 x²+16

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Q: Calculate dx2 y = e-X + ex

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Q: Find of y' (y-x)° = y² – x² dx

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Find (x + 2)e3* dx

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Q: Evaluate:

A: Given integral is We know that

Q: -1) 2. -dx (e² +1)

A: Given: - The indefinite integral is, ∫ex-1ex+1dx To find: - The solution of the given integral.

Q: dx dx 3. x1

A: Given ∫dxx3-dxx

Q: Find dy/dx when y=6(x3+4)3

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Q: 3. dx V3-x

A: