Q: Solve the following integral Sx x sin-1 x dx

Q: Q: 1. Find the value of the following integral: sin vi dx using Simpson's rule when n = 8.

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Q: a) b.) O F+ x dx (x³ +1) ³ 3 Sinx sin 2x dx 2 cos x

A: 1. The given integral is ∫01x dxx2+13. W have to evaluate the given integral.

Q: (d) Differentiate the following with respect to x: (ii) 2x2 sin-(e-2*)

A: As per guideline we have to solve one question Please repost other question again

Q: Solve the following integral Sx sec? x dx

A: The given integral is ∫xsec2xdx

Q: "/2 cos* x dx /4 sinb x

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Q: 3 3x - sin(Tx?)dx

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

Q: 6. Identify the proper trigonometric substitution and then solve the integral 1 dx (x² + 1)²

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Q: 1. S cos5 x Vsin x dx

A: As per bartleby guidelines we only give first question answers

Q: Solve the following equation using separation of variables: dy 2y- cos(x) dr 1+ sin(x)

A: Cross multiply the equation and solve

Q: Find the value of the following definite integrals. Show your solution. L₂(x¹+4) dx 2. (cos x + tan…

A: Topic = Integration

Q: sin x dx 1. V2-cos2x

A: integration

Q: Q2: Solve the following integrals: ..... (2) ix-cos²x sin³x cos³ T dx; (3) dx (4) fxe dx

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Q: 3. 4.x sin(4x + 5) dx

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Q: Evaluate the following integral. Л √4 sin *x dx 0

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Q: 4 sin x dx (1+ cos x)2

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Q: Find the value of the following definite integrals. Show your solution. 1. L* + 4) dx 2. f(cos x +…

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Q: Evaluate the following definite integral. 14 7 dx x - 6 6,

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Q: Evaluate the following trigonometric integrals L cos³(x}sin³(x)dx a) ( sin (x) b) -dp- Av cos?(x)

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Q: Solve the following Definite Integral 10.) ,(x² +3)dx

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Q: 12 Which expression represents the trapezoidal approximation T3 to the integral sin (V7) dx?

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Q: Solve the following D.E dy sin x +2y= tan³| dx 2 1 Add file

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Q: solve for y in terms of t or x, as appropriate.

A: Solve for y in terms of x :     lny2-1-lny+1=lnsinx

Q: 2л I7 ở sin(4)dp do dp 0.

A: To evaluate: ∫0π∫02π∫05p2sinϕdp dθ dϕ Evaluating the given integral, ∫0π∫02π∫05p2sinϕdp dθ…

Q: Q1: Find dy/dx for the following functions (solve four only):- 4) y = cosh[sin-'(x²Inx)] (5) y =…

A: Here are the step by step solution of the given problems:

Q: Q2: Solve the following integrals:- (2) fd 4x2-9 xp: (3)fx sin(x +1)dx

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Q: x 4 dx (x²+4)² S

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Q: +2% X Sin x dx Kt, then the value ofk is equal to

A: Introduction :

Q: Solve the following Integral Equation: r"()= cos(r)+ [x^(x}sin(t – x\k&x. (0) = y'(0)=0

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Q: Evaluate the integral. sin(0) d6 T/6

A: As we know that; The fundamental theorem of the integral: If Fx=∫fxdx then ∫abfxdx=Fb-Fa And…

Q: Evaluate the following integral: 1. sec^3x dx 2. sinx*ln|1+sinx|dx 3. (e^-x)cos2x dx

A: ∫sec3xdxApply integral reduction=sec2xsinx2+12·∫secxdx=sec2xsinx2+12lntanx+secxSimplifying,…

Q: S sin Vx dx

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Q: T/6 sec² xdx 1+9 tan? x

A: Given query is to find the value of the integral.

Q: Evaluate the integral. -1/4 S" 5 sin* 2nx dx

A: here we us the sine reduction formula to solve the given problem ∫(sinnx) dx=-cos(x)(sin…

Q: Solve the integral. cos x 7. 1+ sin? x dx

A: The given integral is: ∫cos x1+sin2xdx To solve this integral,  Consider, sinx =t   ......(1) Now,…

Q: (1) sin?x dx

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Q: 7/2 S/² sin(x/2) cos(x/3) dx

A: This question is based on definite integral.

Q: TT 1 dx 1+ 2 sin? x

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Q: Solve the following integral xe* dx 1

A: Calculate the integral         ∫12xex3 dx

Q: 1-sin x dx 1-cos x 2

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Q: Evaluate the integral. 3t/2 2|sin(x)| dx

A: Given: ∫03π22sinxdx

Q: Answer the following. Complete Solution 1. Integrate -2 ex sinx a. dx 0 1+x² 62e

A: F = ∫02exsinx1+x2dxIt is a complex integration hence, numerical method is used.…

Q: 17. S* sin? 4 y cos² 2 y dy

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Q: Solve the following integral by using the Tabular Method. cos 2x sin 3x dx

A: The tabular method for the integration of above function is as follows:

Q: L(3x+e")dx Jo

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Q: 2x cos x? dx 1+ sin? x2 5.

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Q: sin x 2+cos.x %24

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Q: 1. S'sin S sin? (2x) cos (2x)dx ,3 COS

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Q: Solve the following Integral Equation: |frkt = xkfr =sin(t)- cos(1)+ 1(7),

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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.