cos'x sm'e dx

Q: Calculate integration | cos -1 1 dx

A:

Q: Find the intergration of x^3(x^4-sine)^5 dx

A:

Q: Integrate: S sin3x cos²x dx

A: The given integral is ∫sin3xcos2xdx

Q: Find the 50th derivative of y = cos 2x

A:

Q: d sinh x) = cosh x dx

A: By using hyperbolic functions definition, sinhx =ex-e-x2   and coshx =ex+e-x2

Q: Integrate cos2x/sin^2(2x+8) dx

A:

Q: Integrate: So a sin(x²) dx

A: We have to integrate

Q: Integrate (sinx + cos^2x)^3 dx

A: To evaluate: ∫sinx + cos2x3dx Let I = ∫sinx + cos2x3dx ⇒I =…

Q: Integrate: S tan (æ) sec³(x)dx

A:

Q: dly dx2 - 2 dy dx -3y = COS X

A: The given differential equation is d2ydx2-2dydx-3y=cosx. We have to find the solution of the given…

Q: Find dy/dx  if  4 cosx siny = 1

A: We will directly differentiate it.

Q: 4. Evaluate sin (44°) + COS (290) using differentials. Refer to special triangles.

A: To evaluate  sin440+cos290 using differentials.

Q: nasin(hx) cos(bx)dx

A:

Q: 1) [(sinh 2x + cosh2x)° dx

A:

Q: integral of sin^5(3x)cos^3(3x)dx

A: The integral of ∫sin5(3x) cos3(3x) dx is sin5(3x) cos3(3x). If we need to find the integration then…

Q: 3) еУsinx dx %— cos²x dy

A: Differential equation

Q: S cos*x sinx dx

A:

Q: If y- sinhx then prove that = dx

A: Fundamental inverse Trigonometric Identities: →cosh2y - sinh2y = 1 Basic derivative:…

Q: S" sin" (0.5x)cos (0.5x)dx

A:

Q: Sinh) esechct) dy

A:

Q: Evaluate: √ye dx By using Gamma function. is

A: I have given the answer in the next step. Hope you understand that

Q: 1. ļ | sinh 3x dx

A: The objective is to evaluate the integrarion.

Q: Integrate: x² cos(2x) dx

A:

Q: Find ∫cosh 2x sinh2 2x dx.

A: To find the value of the integral∫cosh2xsinh22xdx

Q: Evaluate the integrals

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Determine dy/dx given that: y = sinx - sin³ x O cos³x O cos x sin² x O sin³ x O - cos³ x -

A:

Q: Integrate: / cos“ x dx

A: The given integral is: I=∫cos4x dx Reduction formula: ∫cosnx dx=1ncosn-1(x) sin(x)+n-1n∫cosn-2(x) dx

Q: S sin(3x + 2) cos(1 – 4x)dx

A:

Q: 3- - 플 플 sin²cyl y จน

A:

Q: Find* esin ¤ dx tan x csc x cos x e $in xt. - cos x e Sin x + c Option 4 Option 2 esinx + c ,sin.…

A:

Q: Use differentials to estimate sin (π/6 + 0.01).

A: Use differentials to approximate the value of sinπ6+0.01 The nearest number to sinπ6+0.01 whose sine…

Q: Find the 50th derivative of y = cos(3x)

A: Zeroth derivative y = cos(3x)First derivativey' = -3sin(3x)Second derivativey''=-9cos(3x)

Q: 4. STT- COs y dy -COS

A: The objective of the question is evaluate the indefinite integral.

Q: Find the first derivative of 1 2 y -sin?

A: Explained below

Q: 3. Find if y³ + 2xy - x² = cos x using implicit differentiation.

A:

Q: 4. S tan x dx CSC X sec (In x) dx 5. dx 6. S; 1- cos 2x

A:

Q: Integrate: cos Gx) – sinh(2x)]g

A: As per our guidelines only one question can be answered.Please repost the next part in next…

Q: 14. y = In cos 4x

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

Q: Integrate: S dx sin ³x cos6x

A:

Q: solve for dy/dx

A: Given that: d. y=coth2x-13e. arctan(y-2x)=x-2y

Q: 2 sinºx cos®x dx

A: here we use integration method, as we seen that the power of the sin and cos are even . so we use…

Q: S cos(2x + 1) sin(3 – 4x)dx

A:

Q: Evaluate ax xm-1 sin bx dx in terms of Gamma function. -ax

A: We use the special results of Gamma function to solve this problem as in next step.

Q: 4) [ sinh 2xdx 5) [ e* sin e"dx 6) fcosh'vdv

A: Given:  4) ∫0π2 sinh(2x)dx5) ∫ln(π)2exsinexdx6) ∫cosh2vdv

Q: (1) | cosx In (sin x) dx (2) [ xe -TX | хе dx x (3) x -16 dx

A: As per guidelines, we are supposed to solve only first two questions. Please repost other questions…

Q: 9. [sin Ssin' cos–dx 3 3

A: (9) To evaluate ∫sin5x3cosx3dx Substitute sinx3=u and cosx3dx=3du. Therefore,…

Q: Se Sin (3x) dx by Improper htegrations.

A: use improper integral

Q: What is the derivative of : ln cos 3x

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.