5 3 4 x-3 x-2 x-3'

Q: 2.r³ – 5x²+4x– Ar 4 dx

A: Given:  ∫2x3-5x2+4x-4x2-xdx           =∫2x-3+x-4x(x-1)dx            =∫2x-3 dx+∫x-4x(x-1)dx By using…

Q: x + 4 S(x) = x’-4x

A: In this question given that a function         f(x) = x+4/x3 - 4x . We know that domain of a…

Q: In Problems 47–52, find functions f and g so that f ∘ g = H.

A: The given function is Hx=2x+34

Q: 1 (2x-3)4 4. S dx

A: Follow the procedure given below.

Q: 8 √₁ 2 4-x² 4 x² 2 +4.x² dx

A:

Q: 7. 3. dx x + 4x - 4 8. dx

A:

Q: 4 5 2 X -x.dx

A:

Q: 10 9. (2x³ + 5)¹0 x² dx

A:

Q: S(2x³ – 3)2º(6x²)dx Se S e5x(5)dx 1 OS 2xdx 4+x 2

A:

Q: Зх —10 dx х* — 4х +4 3x 2

A: Definition used -     Improper fraction -        If the degree of the numerator is equal to or…

Q: 1 5) +1 5x 1 6) 6x 1 2.x '6x

A:

Q: (2х — Зу + 2)dx - (3x + 4у-5); У-3) %3 4 |

A:

Q: 1. S (5æ4 – 8x3 + 6x2 4а + 7) dx - 1 3 r ( 4x 3 + x 2 dæ 2.

A: Given: I=∫(5x4−8x3+6x2−4x+7)dxI=∫4x13+13x32dx

Q: 7 (2+ x³)' Vx² – 1 (x2 + x + 1)* 3 d B : dx - 4

A:

Q: 3 - 5æ4 5x4 6 dx x 4 x4

A: We have to find the integral

Q: 3. 2 X+6X+loX+ X さX Xナ6X+\0

A: Given: - The indefinite integral is, ∫x4+6x3+10x2x2+6x+10dx To find: - The solution of the given…

Q: 8x 5. S dx 2. 2. (4x +3)

A: ∫8x(4x2+3)23dx∫(4x2+3)-23 8x dxhere f(x) =4x2+3 , f'(x) =8x , n=-23∫f(x)nf'(x) dx= f(x)n+1n+1+c

Q: 11. 2 - 2x + 6 dx - 12. 5х1/4 13x3/4 dr -

A:

Q: 3x + |x| lím 40 7x – 5|x|' r³ + 2x² + 3x + 4 lím 1→+0 4x3 + 3x2 + 2x +1' 22 + 7x + 5 lím 1→-00 x3 +…

A: As per guidelines, I can answer only one question.

Q: Ex: 5 : R Ex: 5 € → R -5x1 – x2 – x3 T X2 x1 + 4x3 x3 Ex: 5 T -1 Ex: 5 -3

A:

Q: 5. 2x - 6= 4x² 6. x2 + 1.25x – 0.375 = 0 7. x + x + 2= 0

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 6. 5<x<-1 - 2x +4, -3x +13 -15x<2 25x<6 6 SxS 10 f(x) = -3

A: Solution: The objective is to graph the given equation

Q: رح 3 2 + + + + 32 - 2 -3x+2) 22م dx

A: I have stated the used formulas in the solution

Q: х3 +4х2-6х *dx х-1

A: Given that: ∫x3+4x2-6xx-1dx

Q: 2х — 5 Jx(x – 1)3

A:

Q: 3.5 12х-4 dx 2х-1

A:

Q: 4. 5. 1 X√(x)}² (x)²-49 dx 1 √9+8x-x² dx

A:

Q: S 3+4x+3 dx x4-5x2+4 5.

A: Here, x3+4x+3x4-5x2+4=x3+4x+3(x2-1)(x2-4)⇒x3+4x+3x4-5x2+4=x3+4x+3(x-1)(x+1)(x-2)(x+2)

Q: 2,2x2+x+4 3. x³+4x² )dx

A:

Q: 5 — 2х 2.x dx V5 + 4x – x²

A: Use the following formulae, to obtain the solution.…

Q: 4 5. i (4x – x2)/x² dx

A:

Q: 1. [²+3x - 4)dx

A:

Q: x + 7x5 +15x4 +32 x³ + 23x² + 25x - 3 (x² + x + 2)² (x² +1) ² 2 dx

A: SOLUTION-

Q: #2) S 9x² + 4x + 6 dx 2 9x² +1

A: Since, the student has mentioned to solve only 2nd problem. So we are solving accordingly problem…

Q: 10.5 Csc In x-2 da x (csc Inx+1) A

A:

Q: 3√3 2 0 x3 (4x² +9)3/2 dx

A:

Q: 10. | x³(lnx+1)8x* dx

A: To evaluate the integral: I=∫xx(ln x+1)8xxdx=∫8xxxx(ln x+1)dx

Q: 16 16 + 4x - x2 4 dx

A: The answer is found in step-2.

Q: 2s+1 1. L-1 (s+1)²,

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: √ ² (2 + Inx) ² 4x dx

A:

Q: 2. x + 4x + 6 = 0 1(x)

A:

Q: 8. 6. sec²(3x) – V8)dx 6x + 9

A:

Q: 6 X. 2x + 12 10 x +3 V

A: We know that if two secants intersect outside a circle, the product of the measures of each secant…

Q: 4. √₁² (x²³/2 + x ²¹/2₂ - x^²/2) dx

A:

Q: 2 2) dx xV4x2–1

A: Integration means addition it is used for adding continuous function which can't be added by simple…

Q: 3 2x + 2х +8 | dx%3D 3

A: The fundamental theorem of calculus states that, ∫abfxdx = Fb -Fa Here F=∫fxdx Recall: ∫xndx…

Q: 3x^4(−x^5+5)^4 dx

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.