1. S8x³ – 2x + 11 dx 2. S8x7 – 3x* + 5x +1 dx 3. Sx*00 – 3x dx 4. S Vx – 4x* + x dx 5. [3V- dx 6. S 4a5 – a da 7. S (3– 7t)² dt 8. S***1 dx x-3

Q: 2) Sxsec²(4x² – 5) dx. 3) S3x Vī– 2x² dx .

A:

Q: 18. Find xV4x -3 dx 18. SxV4x - 3 dx

A: Use substitution to solve

Q: $x+ 2 4x -1

A: Given that                                                           I=∫8x+24x-1dx

Q: d/dx [(2x+1)3(3x2-1)4]

A:

Q: 9x dx VI-9x -/1-9x2 +C -1 arcsin 3x + C + C 3(x3 – 3x)

A:

Q: 3x+4x+1 6. J x-x+4x-4

A: Indefinite integration

Q: 4x + 1 - dx 4x2 + 2x + 3

A:

Q: 2. Integrate the following: /(x (x² + 7)*)dx a. 8x(x³ + 7)³(3x²) + c x³ ((x³ + 7)° + c 5 b. 3 (x³ +…

A: It is given that, ∫x2(x3+7)4dx   Here this integral can be solve by using substitution method.…

Q: Differentiate. Find ele ele ele ele ele AP O AP O for y=x-1 Whatsa AP O 2x³ - 3x² (x −12 - 2x3+3x2…

A:

Q: If y = (3x²+5) (2x³ - 5x – 4) then dy/dx O (3x2+5) (6x² - 5) + 6x (2x3 - 5x - 4) O (3x2+5) (6x² - 5)…

A:

Q: 7x - 4 3 – – 4x 4x² dx

A:

Q: x²dx 3 2 3 (5-x') 2.

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.