γ(t)=t^2e^it, 0 ≤t ≤3π. Find the value of γ(π/2).

Q: хах 3. S cos (2-3x2)

A: To evaluate the integral ∫x dxcos2-3x2.

Q: (f) / sec“ y dy. tan5

A:

Q: Differentiate.

A: We use the quotient rule

Q: needed. That way you'll have better chance x2 + + 2x +3 dx x3 +3x2 + 9x a. #13. 26+

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: 8. (2x° – 3x) dx

A:

Q: 3. tan x dx

A: Formula: tan2x=sec2x-1

Q: d2y at the point (2,) 48. Given yax-i.find -1, find - at the point|2, ах x

A: Given:The function y2x2 = 1.The point (2,1/2).

Q: ·S. 144. dx x6 = x² -

A:

Q: Evaluate Set 7x cos (6x) dx. Sex cos (6x) 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.