4 dx 2 + x3 1

Q: d S 1+ 2x3 Find dx ( 4x5 – 1

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: S(4x3 +dx 2 Evaluate :

A:

Q: 3 Evaluate / -dx (r-4)²+4

A: To find:∫3x-42+4dx

Q: 8. Which equation has exactly A 7x =7 B) 7x 7a x +1 = x + 1 Dx+1= x + 2

A: A) 7x = 7 implies x = 1 Exactly one solution B) 7x = 7x  This is true for each x Implies infinitely…

Q: 7. S sec" x dx

A:

Q: c. Sx² e*³ dx 4 d. (+2 dx

A:

Q: 5x2 8 Find dx 4 9x

A:

Q: S² (4-x²)³2x² dx

A: I am attaching image so that you understand each and every step.

Q: :1 S* d(x³). 3

A:

Q: Sx(2x 3)®dx

A:

Q: 8. fx(1+x)²/³ d dx 2/3

A: SOLUTION-

Q: Sx³In (x)dx

A:

Q: /3x² + 2 dx 10.

A:

Q: Sx-4/5 dx

A: Given, I=∫x-45dx

Q: If Edx = ( + 9(2))dx, then 4 + f g(2) dx is equal

A: Given : ∫x2-1x3+xdx=∫Ax+g(x)dxthen we have to find the value of A+∫12g(x)dx

Q: S2x3 (3- 5x4)"dx Given:

A:

Q: What is the largest value that Vx - x² dx can have for any a and b? Give reasons for your answer.

A:

Q: If ∫3 6 (5f(x)+2)dx=14, then ∫3 6 f(x)dx=

A: ∫ab fx±gx dx = ∫ab f(x)dx ± ∫ab g(x) dx

Q: d²y = f(x). dx? %3D

A:

Q: S(3 – x) dx 12

A:

Q: 25+1 c) r³-3x²-10x dx

A:

Q: Sx³sin (x²) dx

A: Let's solve given integration.

Q: 2-x dx

A:

Q: dx 4. JF*+x+1)

A:

Q: ニ 2 2. dx | -r

A: The given integral  y=2∫-rrr2-x2dx  Can be solved using integration formulas given below…

Q: 2 d 3)[(3x2 – 4x +7)(5x³ – 9x)®] dx - -

A: Here we apply u.v rule of multiplication in derivative

Q: Evaluate the definite integral using the given values

A: Given: verify that ∫26x3dx=320 for verifying given integral we solve left hand side

Q: 4 + x² dx 2

A:

Q: dx и 3 2х + 2 (2x + 2)4

A: To evaluate this integral we use method of substitution.

Q: S (Vx² + 1) dx 4 2

A:

Q: Find + 3x*) dx 3 3 + C

A: Integral.

Q: et – 4x2 dx = 4 + С. +

A:

Q: S abc²x-3 dx

A: Evaluate: ∫abc2x-3 dx

Q: Sx V(x² – 5) dx 3 2

A: We have to solve the given indefinite integral: ∫x x2-53 dx Solving the integral by using…

Q: 小 7) In x √x - dx

A: I have stated the used formula in the solution

Q: ㅇㅇ Sxe 0 2 -2x² dx

A: The given integral is ∫0∞x2e-2x2dx. Improper integration states that a definite integral with…

Q: Show that: -1 xb-1 In x dx b2 2-

A: we use integration by parts

Q: Evaluate J 12-2+ 19) 1 -dx + 10)3

A:

Q: 312 Z+3) dx 112

A: Given: ∫12324x3-6x2+3 To find: The given integral.

Q: Evaluate I 6 dx 3-2X -x2

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Using appropriate substitution 9x2 – 4 dx X is equal to

A:

Q: 7. What is Vx3 – 7 i dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: . Evaluate [(x+2")*de 2*)² dx 2.

A: Since, I=∫x+2x2dx Then,  I=∫x2+2x2+2×2x×xdx=∫x2+22x+2x2xdx=∫x2+4x+2x2xdx

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: Sx3 + 2х2 + х — 5)е2х dx

A: we have to find the integral value of given function. the solution is following

Q: 2. So (x²+4)² 5. x'dx

A:

Q: уз dy S 1+9y2 3.

A:

Q: Sx(6x² – 5)² dx

A: here we use integration formula ∫xndx =xn+!n+!

Q: (c) Evaluate -dx (x – 3)3

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.