Evaluate f sin³ 2x dx

Q: Differentiate f(x)= sin'(2x)+ sec(5x). %3D

A: The given function is , fx=sin32x+sec5x To find the differentiation of the given function take…

Q: Differentiate the function. f(x)  = In (Sin2x)

A: Use chain rule

Q: Evaluate d -tan − ¹ (√x + 7) = dx

A:

Q: | (5cotx – sin x) csc² x dx

A: Given integral is: ∫5cotx-sinxcsc2xdx Rewriting the integral:…

Q: Differentiate sin x +1

A:

Q: find the derivative  f(x)=cosx/1+sinx

A: The derivative of the function as follows.

Q: Evaluate 1 dx 1-sin x

A:

Q: Evaluate f 1+cos 4x dx 1-cos 4x

A: To evaluate the given integral.

Q: Evaluate Je sin(3x) dx

A:

Q: Find the derivative  f(x)= sin 2xcos2x

A: The given function is,

Q: If f(x) =tan(3x) find f'(4)=?

A: Differentiating with respect to x, we get

Q: Differentiate f(x) = sin(sin(cosx).

A: Given query is to find the derivative of the expression.

Q: Evaluate x dx Sin odo 2-X

A:

Q: If f(x) = 4x sin-), find f'() = f' (0.4) -

A:

Q: Evaluate tan (7x+1) sec³(7x+1) dx .

A:

Q: Find F '(x). sin(x) F(x) Jo

A: Given data:     The given expression for the integral of the function is: .   The expression for the…

Q: Find ∫(tan3 x/ √sec x) dx.

A:

Q: Compute the derivative.   f(x) = sinx cosx

A: f(x)= sinx cos xf'(x)= ddx(sinx cosx)        =sinx ddxcosx + cosx ddxsinx        =sinx (-sinx) +…

Q: Let f (x) = sin-1(cosvx). Find f'(x).

A:

Q: (B) Evaluate f tan (7x +1) sec³(7x+1) dx.

A:

Q: If f (x) = 4x sin 3x find f'(x).

A: Given:fx=4x sin3xf'x=?ddxuv=uv'+vu'

Q: Evaluate f sin (2(V1-) dx

A:

Q: Differentiate.  f(x) =sqrt x sin x

A: Given: fx=xsinx

Q: find the largest and smallest value of the function y = 3-sin3x

A:

Q: (B) Evaluate tan (3.x +1) sec³(3x +1) dx

A: In this, We find the value of the given integral using tan^x+1=(sec^2)x formula.

Q: Find the derivative 1. h(x) = cos3(tan2x) 2. h(x) = x5 sec(1/x)

A:

Q: Evaluate fx sin(x)² cos(x) dx.

A:

Q: write the derivative of trigonometric řunctions 1) F(x) = sin 3x tan²x

A: Given :-  F(x) = sin(3x) tan2(x)  To find:- Derivative of f(x)

Q: Let y = 23+sin² x .Find f'(x). %3D

A:

Q: Differentiate f(x) = sin-(2x). Use exact values. f'(x) =

A:

Q: Evaluate f S sin tdt

A: We will evaluate the integral as following.

Q: Use cos(sin^(-1)x)=Sqrt(1-x^2) to determine the derivative (sin^(-1)x)'

A:

Q: If f(x)=5x(sinx+cosx), find f′(x) =

A: Product Rule of differentiation : du.vdx=u.dvdx +dudx.v dxndx=n.xn-1 dsin(x)dx=cos(x)  and…

Q: 2) Evaluate: |x sin5x dx

A: The integration of xsin5x.

Q: Find f'(x) if f(x) = e3X sin 2x

A:

Q: Evaluate tan |2x| dx F

A: The given definite integral,    ∫-π8π6tan2xdx

Q: Evaluate sin (4x) dx

A:

Q: If f(x) =>(1- (sinx)²)" .Determine the value of f)

A: use the trigonometric identities to simplify and the solve. detailed explanation is in step 2 answer…

Q: Differentiate f(x) = sin(sin(cosx)).

A:

Q: /is [sec2(x) – csc²(x)]dx Evaluate:

A:

Q: Number 17

A: First we break sin^3 x in sin^2x*sin x, and then we replace sin^2 x by 1-cos^2 x.THen in the next…

Q: 10. (4x+5)sin 3x

A: We will find the solution to the given problem.  We will differentiate the problem with respect to…

Q: Differentiate f(x) = sin'(7x). Use exact values. f'(x) =

A: Explanation of the solution is given below...

Q: Find f"(x), where f(x) = tan-(sin x2019)

A:

Q: Find the derivative  f(x) = cos-1(3x) sin-1(3x)

A: To differentiate the function with respect to x.

Q: Find ∫x2 sin x dx.

A:

Q: Evaluate 1 -dx 1- sin x

A:

Q: Find ∫sec4 3x tan3 3x dx.

A: ∫xndx=xn+1n+1+C

Q: tan x sec xdx %3D

A:

Q: Evaluate  ∞  ∫ tan^-1 (x) dx  -∞

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.