0.893 dx Va a>0, evaluate (x°e dx Knowing that Part 2. xe Using the result of problem 1 above, find 6(e +1)

Q: 3. sin(1/x) dx = we need to set u(x) = and du = 2/T

A:

Q: |In? x – 4 ln x – 5| dx. Je-3

A: ∫e-31ln2x -4lnx -5xdxPut lnx = t ⇒1xdx = dt and limits will be from -3 to 0Also t2 - 4t -5 takes…

Q: x² dx %3D Use right endpoints and = 10 rectangles to find an approximation of

A: Given, Use the endpoints and n= 10 rectangles

Q: Find for the function y = 3*. dx dy dx 11

A:

Q: If x = tan - log y a d'y dy Show that (1+x²)- +(2x- a)-0 dx dx?

A:

Q: sin 5 (17x) dx = [

A: To evaluate : ∫sin517xdx Let I = ∫sin517xdx ⇒I =∫sin417xsin(17x) dx

Q: Find dy/dx  given that      y= (x2 + 4x +3) / x(1/2) The denominator is square root of x, I…

A:

Q: dy dx if tan(xy) = xy (Product Rule)

A: Product Rule: ddxf.g=f'g+fg' Given expression tan(xy)=xy we have to find dydx

Q: solve using Gamma function rý a. C. So dx √-In(x)

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Q: 3 ſ dx – S sin²5xdx

A:

Q: [5/4 sin x dy dx

A: Here we have to find the double integral.

Q: 1. Determine the following: 8. S(V)° -+ - 9 7 dx (4x-1)3. 2-x 2x5-4Vx+3 h. S

A:

Q: Solve dy - dx coeff and substituting yp & the derivatives in the Linear Diff Eq. The answer should…

A: According to question,Given differential equation,d 2ydx - 2dydx = ex sin x

Q: Q1/ Answer the following: 1- " |x | dx = ? 2- ofw4 sec² x dx =1

A:

Q: dy d. x = y + y³cosx dx

A:

Q: Given x = (3x + 4y) Find dy/ dx with explanation hopefully

A: Given: x=3x+4y To Find: dydx=?

Q: If x = a cost + log tan- y = asint 2 Find dy/dx

A:

Q: Q2\Find T.E of the function f (x) = sin 2x when a =1?

A: Given that  f(x)=sin(2x) at a=1  To find the T.E

Q: I. Find dy/dx of the following: 1. y= In 2x 2. y= (In.x) 3. y = In(tan.x)

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Q: Find dy/dx of the equation y=ln(sinx) when x=pi/4 a. 3 b. 1 c. 0 d. 2

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Q: y = tanh- (x) + sech -1 /1+x2 %3D

A:

Q: Q1: Find dy/dx for the following functions:- (1) e – 3* = x sinh y (2) tan-12 = (Inx' + y²)

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Q: What is the value of 1 a x2 evaluated between 2 and 5 if the constant a=4?

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Q: 29e1/x dx.

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Q: Find dx e 2X = sin (x+ 5y) %3D

A:

Q: (d) DNE (e) 2. Calculate each of the following i: (a)/ sec2 (x) dx (b) 3 (d) In(x) dr (e) 0. 1. dx…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.