QIFind dx 1+ x2/3

Q: Evaluate [(2x+5)/x² +5x-8 dx , by using substitution method.

A:

Q: Find the intergral of dx/(x^2+6x+13)

A:

Q: x2 dx 7-5х3

A: Evaluate it.    ∫x27-5x2 dx

Q: [ (x²ex - 12/²7/1₁) dx x + 1,

A:

Q: dx Evaluate: 9 – x2 6,

A: folllow next step

Q: Sx dx 3 x2 ४

A:

Q: 2x - 2x2-3 dx - Find 4 x* + x²

A: To evaluate: ∫2x3−2x2−3x4+x2dx Let, I=∫2x3−2x2−3x4+x2dx ⇒I=∫2x3−2x2−3x2x2+1dx

Q: S 23x* + 5 +* x2-16 dx X-4

A: We will use simple Integration rules to solve this question.

Q: -2 x2V4 - х2 dx

A: I use Trigonometry substitution method to solve this integration

Q: | Te2r– 11 2x dx 7e2a – 11

A:

Q: S dx x² √√9-x² 2

A:

Q: Find for 7x3ys = -8 dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (2x³-9x²+2) dx from x = 6 to x = 11

A: Given: ∫2x3-9x2+2dx   from x=6 to x=11

Q: 213 dx 4+x² ,2

A: We will use substitution to solve the integral

Q: (x²-ax +4" dx

A:

Q: Suaef(Ox-tan(Sx-) dx 2 2

A: Given:

Q: Evaluate dx -[In(x³/6x +5)].

A: Given : ddxlnx36x+5

Q: dx 4 (7-x²)*

A: We will find the integral as following.

Q: So x² dx √4-x²

A: To find out the integration.

Q: Show that (xcos(2x)dx=. A-2 8

A: LetI=∫0π4xcos2xdxPut 2x=udifferentiate on both side2dx=dudx=du2As x→0 then u→0As x→π4 then…

Q: (In x)² dx 3r

A:

Q: 4 - x -dx. 16 – x2 III. Evaluate

A: Solving

Q: QIFind dx /1+x²/3

A:

Q: (a) f dx 2 √3x-x²

A: Given that the integral  ( a ) ∫03 dx3 x - x24  ( b)  ∫0∞ 3-3 x3 dx  Evaluate the given integral.…

Q: In(x²) dx 1

A:

Q: Evaluate 2х— 7 -dx J x2 — бх + 10

A:

Q: Evaluate:

A: Given

Q: By using substitution method, evaluate: (a) dx (e3x+x3)3 (In x) dx (b) 4x

A: To evaluate the integral.

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

A: we use integration by parts

Q: 3 x2 dx 4

A:

Q: √(x + 3) dx √16-x²

A: Solution

Q: 7x dx 19. (1 – x²)3

A:

Q: S(xeRx-5 +)dx 7 9-Rx

A:

Q: 2x° dx x2-4

A: ∫2x3x2-4dxSubstitute u=x2-4→dudx=2x→dx=12xdu=12∫u+4udu=4∫1udu+∫1du

Q: dx Evaluate -1 x2 - 0 -2

A: The integration formula is ∫xndx=xn+1n+1+C.

Q: 13. dx x5-3

A:

Q: x2 dx 1-2x3

A: Since you have asked multiple questions, I will solve the first question for you. If you want…

Q: -4/3 – 2x – x² dx

A:

Q: 7. Sxtan-x dx

A: Given: The integral is  ∫xtan-1x dx     Formula used: Integration by parts: ∫udv=uv-∫vdu

Q: ∞ So dx 4+x²

A: The objective is to solve the given integral. The required formula for integration is…

Q: Evaluate ∫x3 √(1 - x2) dx using a u-substitution

A: It is given that,∫x31-x2dx     We have to evaluate using a u-substitution.

Q: 5x 2 Evaluate: ²3x²dz dy dx 2

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Evaluate dx (1-x²)

A: ∫x21-x25dx=-∫x2x2-15dx                         =-∫x2x-15x+15dxUsing partial fraction expansion for…

Q: x2 dx 21. 7-5x3

A:

Q: -2 х 6. dx 1-x

A: Topic = Integration use ∫1xdx=lnx+Clnx⇒x is NOT defined for negative values of the independent…

Q: Зх-7 dx 10x2+3x+11

A:

Q: Show that dx (a) - x² +1 2

A: Since you have asked multiple question, we will solve the first question for you.If you want an…

Q: SP dx * if y = In [(2x³ + 7)(9x – 2x²)]* Find

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.