d Q. a Vi In(t)dt equals dx a.36a6 (In x) – V2 In(2) b. Væ6 In(x°) – V36 In(3®) c. 6x² (ln x) d.36x7 (In x) a d

Q: Find (22 + 1)Va dr.

A:

Q: d rcoso 1 dx %3D SP

A:

Q: 3 Inx S- 2. xV In'x – 4 -dx

A: Consider the given integral ∫ln3xxln2x-4dx Use the substitution method to find the solution of the…

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: dx (x² +25)3/2

A: To find the integration.

Q: 13 dx (1+5x)

A:

Q: find dy. y =2√x/3(1 + √x)

A: we have to find the derivative y=2x3(1+x)

Q: dy dx

A:

Q: 3 |(3 -x).

A: Integration of 3-x w. r. t to x for limit 0 to 3

Q: B. Find (Inx dx

A:

Q: 2 In? x 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.