46) Evaluate V(3r + 1)dx 2(3r+1)7 O s(3z+1) 2 O 2(3z+1)7 +c 3 O D(3r+1)1 + c 2

Q: [ (ax + b) c+b) dx = ○ / (ax + b) ² + C O O4a ¹ª (ax + b) ² + C O4a (ax + b)² + C O4 (ax + b) + C 7a

A: You must have basic idea about indefinite integral in order to understand this better.

Q: zn 3n+1 7. 4-2n nニ」

A:

Q: 3. Which of the following is the same as [(z-2)(3z+5)dz? A) [(z-2)dz + [(3z+5)dz B) [ ziz-2fdz+3[zdz…

A: ∫(z-2)(3z+5)dz ∫ (3z2 +5z -6z -10)dz ∫ 3z2dz  - ∫zdz -∫10dz option C is same as given so answer C is…

Q: [38] Evaluate ff, 40yds where S is the portion of y=3x2+3z2 that lies behind y=6.

A: we know that for 3d representation,  S=∫∫√((∂y/∂x)²+(∂y/∂z)²+(∂z/∂z)²)dA from this we will solve the…

Q: ƒ(5x² + 4x³ − 2x + 1)dx 이름 +2 -를 +a + C 5 2 O x5 x5 + x²-x²+x+C O 20x5 + A O 20x³ + 12x² −2+ C…

A: Given, ∫(5x4+4x3-2x+1)dx

Q: draw the solid x² + y² +2²=2 2 = √3x² + 3√²

A: Given equation are: x2+y2+z2=z z=3x2+3y2 To find graph the given functions.

Q: 2dx J = (3(ln x)² + 12 In x – 15)i -

A:

Q: 17 (4D? + 4D + 1)y = 0

A: It is differential equation problem

Q: 16 Evaluate x1² (x4 – 2x² + 1)²dx. - 81

A:

Q: 3x Calculate: dx (x² + 2)² 3 а) + C 4 (x² + 2)² 3 + C x² + 2 b) 3 c) +C 4x2 + 8 3 + C 2x2 + 4 d) 1…

A:

Q: If y 3 , then dx 5x2-3 10r2 3V/5x2-34 35x2- 3) 5x2-3 10x 3 3(5x2-3)2 10r 3 35x2-3)

A: Find the derivative of the given function.

Q: 2. S 2z+8 dz (z+7)a

A: A detailed solution is given below

Q: S (x + 7)dx 15x²+x-2 A. In 2 (3x-1)3 (5x+2) +C B. In 3 (3x-1)2 (5x+2)3| +C C. ln (3x-1)³ || (5x+2)3…

A:

Q: Evaluate f(2x² + 3x + 1)5 (8x + 6) dx

A:

Q: LET fCe) =12-31.. If Find: (a) fCu) え40 (b) ) fcn) it n z5

A: topic - functions

Q: 8 105 = 8 8 8+102 +. + %3D (1+r)' (1+r)² (1+r)³ ' (1+r)*

A:

Q: Sx(x-2)/xr³ – 3x² + 5dx

A: By using substitution, we calculate the given integral.

Q: 2 S²3 (x²-3x+18) 9x-X³

A:

Q: 17. Evaluate: √4x² - 4x + 5 dx A. √4x² - 4x +5 +In(2x+1+√4x² - 4x + 5) + C 8. √4x² - 4x…

A:

Q: What is L! if 2 1 +. s s-4] 4r A. -2t +e В. -t+ 2e¬7! 3t +e" D. -2t+e" C. 47 3r E. 4t - 2e"

A:

Q: 2,5 Evaluate O 근43 0,0 2,1 7,4 (Z+ €)dz (2+i) dz 7.4

A: As per the guidelines I am only answering the first 3 questions.  Kindly repost the other questions…

Q: Evaluate O √x(1+x²) dx 2 x1/2 1 2x¹/2 O O 2,2/3 3 O 3x²/3 2 + 2x¹/2 + C x1/2 + +C 2 2x5/2 5 5x5/2 -…

A: Note: Every options given by the question are incorrect. I am 100% sure about it.  The correct…

Q: dx 16. S 9x2-4 |3x+2 A. In +c B. In D. tn +C + C + C |3x+2 |3x+2| 3x-2

A: This is basic integration problem

Q: Evaluate x²(x³ +9)¹/² dx 2 +9)³/2 +C Nia O (x² +9) ³/2 +C O C(x² +9)³/2 O x³ +9+C

A:

Q: Evaluate L{(t²+ 4)e³t} 2(2s² – 12s + 19) а) 2(2s² - b) 12s + 19) (s + 3)2 (s – 3)2 (2s2 – 12s + 19)…

A:

Q: If 16a4 + 36a?b2+ 81b4 = (4a² – xab + yb²)(za2 + 6ab + yb?), then find the value of v(6xyz).

A:

Q: 13D 43. If a > 1 and b < 0, then 1-101 (A) (B) 1 9 (a) (D) b(a+1) (E)

A:

Q: d ( Inx dxx3 1- 3lnx A x³+ 3x²Inx B

A:

Q: 3 | (16t³ – 9t² + 7)dt Evaluate:

A: Given problem:-

Q: (4) 9Afi - fiAgi (a) Show that A 9i 9i+1

A:

Q: Evaluate: (3 e + 9* – 7) dr =.

A: Given : ∫3e3x+9x-7dx

Q: S(in 6x) dx x (In 6x)2 - 2x (In 6x) +c x (In 6x)2 - x (In 6x) + x + C <(In 6x)2 - 2x х (in 6x)2 + 2x…

A:

Q: Find d dx [(5x³ - 2x) ¹] 3 4(5x³ - 2x) ³ 4(5x³ - 2x)³ (5x³ - 2x) (15x² − 2) 4x³ (15x² − 2) 3 4(5x³ –…

A: The given problem is solved below in detail.

Q: 2 - Find: (a) 3a ,(b) a +b , (c) a-b , (d) la + b|, (e) a- b|, (f) 3a – 4b and (g) | 5a + 2b|. If 1.…

A: