512 - x - sin(8 - x) dx = calculate the value of a. (No answer given) +

Q: (5-)dx ー3 2人 がー。 Sin(x) d X

A: 3)   ∫-34(5-x2) dx=5x-x24-34                                =54+3-16-94…

Q: 6x? sin x' dx

A:

Q: 2a-x dx -1 Evaluate : x sin

A: We have to evaluate I=∫xsin-1122a-xadx

Q: Q4// Find the value of csc(sec-1 2) + cos(tan=²(-V3)).

A: Here  given as Use some trigonometric formula as

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A:

Q: ind f'(x). f(x) = ln(cos5(3x4))

A: topic:- derivatives

Q: Í sinh(1 - 4x) dx Answer:

A: In this question we have to find the Integration.

Q: S cos³ x sin? x dx

A: Let, I = ∫cos3xsin2xdx ⇒I = ∫cosxcos2xsin2xdx ⇒I = ∫cosx1-sin2xsin2xdx ⇒I = ∫sin2x-sin4xcosdx

Q: evaluate the integral.

A:

Q: Si(1 – 2sin²(x).sin(4x) dx)

A:

Q: dx =+ v3- 2. Determine the value of k such that sin 6

A:

Q: dg 1+sin 2x Find of g(x) dx 2x-tan 2x

A: To find the derivative of given function.

Q: 4-x2 dx. b) Use the trigonometric substitution x=2 sine to evaluate

A: Solving the problem by doing the substitution.

Q: 23. x? sin (x³) cos (x³) dx

A: ∫x2sin5x3cos3x3dx=∫sin5x3cos3x3dx      x3=u,3x2dx=dx, x2dx=1/3 dx=∫sin5x3cos313dx

Q: tan? x (1 + sin² x) dx cos? x 4 cos (a) x2 dx x3 sin3 (-) | V4 - V4-x dx

A: We have to solve the integral.

Q: (ii) S. sin?x + tan²x dx 6

A: The given integral is: I=∫0π6 sin2x+tan2xdx

Q: (2xy-sinx) dx + (x² - cosy) dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the…

Q: Sx2.- cos³ x-5 du 1-sin? x

A: Evaluation of the integral, bu using integral by parts

Q: sin 2x - dx costx + cos?x

A: Given

Q: tanx - dx 2 cos? cos x

A: Solve the following integral

Q: 시 dx = 1- x3 Select one: O a. 2. tan-/x³ )+c O . 2 C. sin-Wx³ )+c d. 를 sec-1/x3) +c

A: We will use substitution to solve integration

Q: Evaluate: dx 9-x2 A sin 9-x2 +C B) +C (9-x?) V9-x

A: To find:∫19-x2dx

Q: dx (solve in two ways: let x = 6. x² /x² + 1 tan 0 or x =

A: Definition used -              Trigonometric substitution -                    When there a…

Q: e sin(x²)dx <e-1. Jo Show that

A:

Q: 2 sin (csc 2x) dx

A:

Q: e9iz -dx = A+ iB.Then sin9x dx =? x2 + 81 x2 + 81 -00 00

A:

Q: n(en sin-lx ) dx cos(sin -lx) +C Vī-x? 1–x2 A) True B False

A:

Q: /2 Evaluate : | sin x dx. -/2

A: For the detailed solution of the problem follow the next step.

Q: sinx (cosx) dx equals -2/5 01 -2 2/5 None of these

A:

Q: S- d.x (sin3r2)?

A: To find: ∫2xsin3x22dx

Q: S sinxcos(2x)dx

A:

Q: Solve the equation 3 sin x–cos x = csc x for 0<x <T .

A:

Q: sin ф dp cos? ф 4x 3x + cos (2x² + 1)| dx tan? x (1+ sin“ x) dr cos².

A: Note: as per our guidelines we are supposed to answer only one question if there are multiple…

Q: а 64 · x² · sin(4 · x) dx = 1 – 2, calculate the value of a.

A:

Q: S tan-1(bx) dx

A:

Q: sin x dx - 1 + x? 22.

A:

Q: 2. cos x dx - 67

A:

Q: Find d79 dx79 (-7 cos (x)). Provide your answer below: 879 dx79 (-7 cos(x)) =

A: The answer is given below:

Q: 2- Se2* sin x dx

A: ∫e2xsin(x)dxWe will use integration by parts: ∫fg'=fg-∫f'gf=sin(x),…

Q: sech? (In x²) dx /6 tanh (In x²) – tanh² (In x²)

A: Since you have asked multiple question, As per our policy we will solve the first question for you.…

Q: x3 16 + x² dx, x = 4 tan(0)

A:

Q: (5-)dx Sin(x) d X

A: Since we have multiple question we are suppose to do only one. Kindly repost the other question as…

Q: sin 2x dx 16 + cos? x

A:

Q: sin x – x dx = ? 0-

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Q: 1. S 2x sin-1 x? dx.

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Verify the formulas by differentiation.

A: Given:∫sin-1x2 dx

Q: x15 dx 101. Evaluate using the properties of odd functions. Lg 3+ cos? x

A: Now consider,

Q: sin 2x -dx costx+ cos?x

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.