O dx √4-9x² O -1 sin O 1 sec sin 0 1 3 -sec 3x 2 2x 3 2x 3 + c + c +c 3x ¹ (³2) +c

Q: 1 dx x+2

A: Given that a integration and we solve this integration by using general property of integration.…

Q: dx 0. HEMATICE (x² + 9) ž M/2

A: Topic:- integration by substituting

Q: ( 3x3 + 5x2 + 7x +4 dx. Evaluate x3 (x +1)

A: For the given indefinite integral, the first step in evaluation of this integral is:

Q: S. 2 x 2 x +9 -dx

A:

Q: x*+2x-17 x4-16

A:

Q: 5x²+3 dx x (x²+2)

A: Given: Let us consider the given,∫5x2+3xx2+2dx

Q: JO π 3 sec³ x tan x V √2 + secx dx

A:

Q: -2 ex + 4 dx ex – 4 J-4

A: Given: ∫-4-2ex+4ex-4dx

Q: 6+02+z*91taXtrực (x + 2)(x² + 3)² xp=

A: ∫3x4+4x3+16x2+20x+9x+2x2+32dx

Q: 4 – 5x2 dx. ¤/3x² – 1 9. Evaluate -

A: To find the given integration.

Q: i) S 3+6x+4x² −2x³ (x4+3x²) ·dx

A: The given integral is (3+6x+4x2-2x3)/(x4+3x2).

Q: D Evaluate 2x dx (I+ x)3

A:

Q: (a) Find 5x (7-2x)³ dx using the substitution u = 7-2x 3 → S(5x) (7-2x)=3dx

A: given integration

Q: 2X + 2 ) dx 3. 2X 6 + 2e

A:

Q: 3√3 dx X²³√x² +9

A:

Q: Use an appropriate substitution to integrate 2. A sin u +c 12r'sin (x?– 2) +c © 12sin (x2- 2) +c…

A: To evaluate the given integral.

Q: So dx VL-4X2

A:

Q: Зx3—4х2+3х dx х2+1

A: Integration is a process of finding antiderivative of a function. There are basically two types…

Q: 2 3x + 8x + 4 A) x+ 5

A: To determine:

Q: So 3 Vit7x dx U-substiutson.

A: Use u substitutions to integration

Q: 2х + 1 бх2 + 23х — 9 dx х3 + 2х2 — 3х Ja- 2)(x – 3)² dx

A:

Q: dx 1+x2 A In(1+x²) + c BIn(1+ x²) + c c tan-ix +c 1 x 2 D tan-x+ c IN

A:

Q: Evaluate D 6 |3x|√9x²-4 3 2 sin-¹3-sin-¹ 3 tan¯¹3-tan -1 1²/24 sec ¹3-sec dx sec-1³/12

A:

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

A:

Q: Evaluate D³(sinx - 4e²x) A -sin x-32e²x B -cos x-32e²x (C) с cos x-32e²x D sin x-32e²x

A:

Q: EVALUATE Зд - 2 (c) dr x2-6x+ 8 EVALUATE sin-1x dx V1-x2 (d)

A:

Q: Evaluate V1-289z2 sin (16x) + C 17 1 sin 1 (17x) +C 17 sin (16x) + C 17 1. sin (17x) + C 17

A:

Q: S sec² (7t) tan² (7t) √1 – tan² (7t) dt

A: Given integral:- ∫sec27ttan27t1-tan27tdt

Q: (4e" + 5x* + 5 cos x)dx 4e" + x + 5 cos x + c O et – x + cos x + c - O et + x5 – 5 sin x + c 4e" +…

A:

Q: 1 x2 - x + 12 x3 + 3x dx

A:

Q: 2x+ス+ dx ャX-ス

A: According to our guidelines, we can answer only the first question, the rest can be reposted.

Q: ſcos(5x-8)cx O a. cos ec(5x – 8) +c O b. sec (5x – 8) +c O c.- sin(5x-8) +c 5 O d. sin(5x-8) +c 5

A: Please refer the attached image for complete solution.

Q: (5x+sin3(4x) + sin(4x³)) dx

A: use differentiation for finding the solution.

Q: tan- 3x b- Evaluate 3+27x2

A: To evaluate the given integral

Q: 7s+15 Find L-1 s+2 O 7 cos (v3t) + sin(v3t) O 7 cos (v2t) + sin (v2t) O 7 cos (v2t) + sin(v2t) O 15…

A:

Q: 2. 11+√7 dx

A:

Q: Q1-6 * 2 points 1 -sin(2x): - sin(2x) -125 (D²-1)'

A: Given, 1D2-13sin2x=x-125sin2x To find:  To check whether L.H.S = R.H.S. or not

Q: 2х + 4 -dx 2x2 + 21х + 34 -2

A: Given: I=∫-252x+42x2+21x+34dx For evaluating given integral, we simplify it then integrate it So,…