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: |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: |(9x - 5) dx, given the following. Calculate 2 X-dx 3 19 dx = 3 %3D xdx =

A: Property of Definite integration: If the upper and lower limits are the same then the integral is…

Q: 5-3* dx: %3D

A: In this question we have to find Integration.

Q: T/2 e2x sin x dx

A:

Q: Evaluate O dx dx dx dx A-8- for the equation x+y=6 dx =-0.25 =-0.06 = 16.00 = 0.25 = 4.00 = 65 at…

A: d[xn]/dx = n*xn-1

Q: Find dy/dx of * ye2x + xe2y = 0. %3D

A: This is a derivative problem

Q: -πχ live 1-ρ-πχ dx

A:

Q: Evaluate B f da where A = (x² - 1) and B = 22. You must show all steps.

A: Given data

Q: 1) Evalvate - 5 dx ZV5 arctan x - 5 5 2 /5 arctan X-5 +C 2 x* - 5 arctan 5 arctan 25

A:

Q: i) S, (x Inx)³ dx. ii) S •1 3 In) dx.

A:

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 1. y= ;d'y/dx 2. Y = (7x + 2)S ;y"…

A:

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

A:

Q: a) Integrate the following functions i. (-2x² – 9x – 7)dx (4x* – 9)* (20x“ )dx. [-4e"dx ii. iii.

A:

Q: ۱۴ 14 g 3 3+1x 1= x² + 1× AND -FIND /dx WHEN X=2 =6.

A:

Q: 2x tan y + x2ey = 25 %3D

A: Given:       2xtany+x2ey=25   fx=2xtan(y)+x2ey-25=0   differentiating on both sides…

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

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

Q: dy Find dx for y = (1+ æ)* || Ans=

A: Here we can find the derivative as below.

Q: The value of (i)' is = ... O T/2 O T/2 O e^(-T/2) O e^(Tt/2)

A:

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

A:

Q: 8. (2x° – 3x) dx

A:

Q: 29e1/x dx.

A:

Q: (b) Use FTC to evaluate (x-x X-

A:

Q: Q4) Find for the following functions (- dx Зх +4 %3D 2x+3 6. y = tan-1 V4x3 - 3 %3D

A:

Q: b) Evaluate S e-2t sinht dt an

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.