x5-2x2 dx (ii) J Tr6-4x3

Q: x2-3x+1 i) S xln²xdx and ii) S7 dx. (x+2)(x2+1)

A: Given: ∫x ln2 (x) dxFormula: (ln (x))'=1x∫ x dx=x22+C

Q: 5x5 (a²-x²)6 dx 0

A:

Q: x² dx 22. 7-5x3

A: Use substitution method to evaluate the integral ∫x27-5x3dx. Let u=7-5x3 then find du.…

Q: Integrate

A:

Q: Vx2 (b) / 4 dx; x > 2. x2

A: To find out the integration.

Q: a) Evaluate: -6x2 + 2x dx . b) Evaluate: - + dx.

A:

Q: Vx-x (-X dx 4. x3

A:

Q: (3x-2) dx f x²+ 2x + 15

A:

Q: 2. S (5x-12) dx x³-6x²+8x

A: Given, ∫5x-12x3-6x2+8xdx

Q: dx 4. 8 + 2r2

A: The solution of the problem is given in the next step.

Q: 1. f4x-³ dx -3

A: Find the integral

Q: dx V3+2x-x2 10.

A:

Q: (2x5-x3-1)dx x³ - 4x

A:

Q: dx (10. V3-2x-x2

A:

Q: dx 3 (2ズ-4x-1

A: Here we substitution method to solve this integration

Q: V2/2 -3x2 dx 1 – x²

A:

Q: 6x² - 2x - 1 4x³ X jo dx

A:

Q: dx V4 - x - dx 2 8)

A:

Q: V9 - x dx -3

A: Given: I=∫-339-x2dx for finding given integral we will given below property…

Q: 3 9x + 4x -dx- 4 9 + 4r

A:

Q: 3 csc2 V1-4cot² x x dx

A:

Q: 2x2 + 3x – 3 dx X - 9

A:

Q: 2x ²-11)dx x3+3x²-4

A: To evaluate the integral.

Q: x dx 5- 4x2 .

A:

Q: (2x2-x+6)dx (х2—х-2))

A:

Q: dx J - 3x³ – 7x² + 27x – 18

A:

Q: dx (2x – 3)v5 – 12x + 4x² |

A:

Q: |x°V16x6 – 24.x3 +9 dx -

A:

Q: f 12x -9x +2 dx 3.

A:

Q: dx 9. (4-x²)3/2

A: Solution 9.∫dx(4-x2)32

Q: + 2r -1 dx (x2 – x – 2)

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: g3 +5x²+9x+7 dx dæ Evaluate x²+5x+4

A:

Q: t0x² -4x²+8d 4 2- 多 et dx

A: 2. ∫10x4-9x2+8x2dx3. ∫ex2+xxdx4. ∫dxx

Q: Calculate dx2 y = -4x2 + 6x d?y dx2

A:

Q: (c) I² +4 3x³+4x² - 4x [3 -dx

A: Here we have to find the integral.

Q: r³+4x+3 dr -dx 14 _5x² +4

A:

Q: V4- V4-x dx 11.

A: Solution of question as follows

Q: Find:

A:

Q: dx J-25a2 1–25x² -25x2 8.

A: The objective is to evaluate the integration.

Q: -2x² Se*- (x' - x)dx – x)dx

A: Evaluate it.    ∫ex4-2x2x3-x dx

Q: V1+x3 –dx r-2

A: ∫1+x33x-2 dx∫x2.1+x33 dx13∫3x2.1+x33 dx13∫3x2.(1+x3)13 dx

Q: 4x + 1 dx Jx3 + 3x2 - 6х -36 2.

A:

Q: Sx²e-x² H₂(x)H₂(x) dx

A: We know that Hn+1x=2xHnx-2nHn-1x⇒2xHnx=2nHn-1x+Hn+1x⇒xHnx=nHn-1x+12Hn+1x…

Q: xª – 5x³ + 6x² 5a3 + 6x2 — 18 dx x³ – 3x2 -

A: The given integral is: ∫x4-5x3+6x2-18x3-3x2dx Let, I=∫x4-5x3+6x2-18x3-3x2dx

Q: YOUR TURN 3 x + 1 Find dx. (4x² + 8x)³

A: We need to evaluate the integral. We will make use of the substitution: 4x2 + 8x = u Hence, (8x + 8)…

Q: (x5—6х4-2х2-Зx+4)dx Q2: х2+2

A: This question is based on simple integration

Q: 6 dx エニ 3-2x -x2

A: