Зх + 2 dx. 1 – x²

Q: f(3x² cot 2x³ csc 2x³) dx O-csc 2x³ + C CSC O csc 2x³ + C Ocsc 2x³ + C CSC O-csc 2x³ + C

A: We can solve as follows

Q: 8 dx 9x2 + 10x + 1

A: Given information: use partial fractions to evaluate ∫0789x2+10x+1dx Apply partial fractions to…

Q: 1 dx xV9x² + 4

A:

Q: 2p- dz 3.

A: We first factor the numerator and denominator to simplify

Q: 5. S (3x-x²)dx x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: X2 dx ex+3

A:

Q: -dx 2x3/2 — Зх2

A: Given : ∫x2x32-3x2dx ∫x2x32-3x2dx = -∫x3x2-2x32dx Now, let us solve ∫x3x2-2x32dx Let us take  u=x⇒…

Q: 6. (9x-6x'+7x²-Sx+15 dx 3x

A:

Q: dx 4x2- 4x+5

A:

Q: dx (4x?- 9) 3½

A:

Q: бх + 20 4. 522 — dx 186х — 8

A: This can be solved easily by integrating properly and expanding the terms.

Q: 8х — 3 dx x4 + 16x²

A:

Q: Evaluate 3 (9x² – 2x + 1)dx 1

A: Given:∫13 9x2-2x+1 dxIntegrating formula:∫xn dx=xn+1+C

Q: Vx² - 2x + 3 dx

A:

Q: 4x-2 dx 27x-8

A:

Q: 2 15х? -13 dx - 14х За +2

A: We will apply long division to solve integral

Q: V9 – 4x2 dx

A:

Q: (24+2x-x2)1/2dx

A:

Q: SV+1.(*+2x² + x)dx

A: Please see the explanation below

Q: Find 2dx x² + 8x + 17 Find dx xV5x2 – 3

A:

Q: 8x(x? + 1)3 dх .2 1)³dx -2 Inx 4. 1/4 xp() 3.

A:

Q: S dx 3 2 2X -4X-1) |

A:

Q: So 3 -dx 4 9 + 4x CV 9r + 4x³

A: The given definite integral is ∫0329x+4x39+4x4dx

Q: +6x+10dx 2+2)

A: