3) Use the methods below to find V1-x²dx a) Try u-substitution. Explain why it will not work. b) Use the substitution sinu = x, you will then be able to integrate!

Q: | sin(6y) sin(8y) dy.

A: we have to solve the integral

Q: -50 t° dt) d Simplify da J-sin² Please select file(s) Select file(s)

A:

Q: Consider F = (5æ³y°, 10x7 + 3y±). Then div(F) = Ar²y" + By³. What is the value of A? (no answer)

A:

Q: 7 dz Integrate: 4 ² + C C

A: The given integral is ∫74-x2dx

Q: x³Væ² + 1 dx

A: Solve the integration

Q: for Q4\ Find fo dx 1) y = (x cot 2x) 2)x+4x√√y-5-3

A:

Q: 41 2TIX ,where x is the number of days after March The daily number of hours of daylight in…

A: Consider the function h(x) and determine the value for x at x = 10.…

Q: Q3. Integrate: ] x+4X*+4X

A: we have to solve :∫x+1x3+4x2+4xdx

Q: Use appropriate substitution to solve the following (iv) zy" + (y/) 0. %3D

A:

Q: 1) Evaluate / Vx-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.