7. Find (a) y = (x* + 5x) cos 5x %3D dx

Q: 2x-1 dx

A: Given,

Q: Find ∫√(2x − 1) dx.

A: Given:

Q: (3y? + 2)2 = 1 and y(-1) = 1 What is x when y = 2? %3D dx

A: solve the differential equation by separating the variable and integrate it.

Q: 3. dx (x²+1)² -3 d x XVX +3, dx x2

A: Evaluate the given integrals

Q: 2. (2x – 3y +1)dx– (3x+2y-4)dy = 0

A:

Q: S(3 – x) dx 12

A:

Q: (2x³-9x²+2) dx from x = 6 to x = 11

A: Given: ∫2x3-9x2+2dx   from x=6 to x=11

Q: Find √√3 x² +3 x² +1 dx

A:

Q: Find dy/dx. y = __2x + 3)3__ (4x 2 − 1)8

A:

Q: Solve: y (cosx)= (9+ y²)

A:

Q: 9x Cos (8x) dx qxcas()dx7u dv = %3D

A:

Q: y = (cos x-x4+ 1/x2)5 - In (3x+1)  Find dy/dx

A: =?

Q: 2. ſ xºcos(4x)dx

A: ∫x0 cos4xdx

Q: 4 6 (1+ tan²x) dx =

A:

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

A:

Q: 2 tan-1(x)dx =

A:

Q: Let y = (3x²-2)* (4x + 3)7. %3D Find y'.

A:

Q: 1. (4xy? – 6y³)dx + (x³ – 8x?y + 9xy²)dy : |

A: Substitute x=yv

Q: X cos (3x) dx,

A:

Q: =x2ex-4 show that dy/dx= 2xex-4+x2ex-4

A:

Q: Find dx/dy  if y = 2x2+3/3x-1

A: Given that y = 2x2+3/3x-1 To find Find dx/dy