3 g(x) = x³ · sin(x)

Q: sin x dx cos3 x – 8 - 8

A:

Q: Iim tan³x X10 1- Cos2x

A:

Q: C.)+x) = sin2x -tonzx

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Q: x sin 4x b. lim x-0 1-cos3x

A:

Q: x – sin 2x -dx x + cos2x

A:

Q: lim x→0 (sin10(x)cos(8x))/x=?

A:

Q: In x3 y = sin x

A: Given,           y = ln x3sin x

Q: x sin 4x2 dx

A: Integration is a process of finding the antiderivative of a function. There are basically two types…

Q: (b) S tan3 x sec² x dx c) S sin³x cos5 x dx

A: The explanation of the solution is :

Q: ₂8(x)e³x dr 8(x + x) sin(x)dr

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: x sin 3x² dx

A: Our Aim is to integrate the following integral given below:-∫x sin (3x2) dx -(i)

Q: culate the derivative of: (8x) COS f(x) = sin-(8a)

A:

Q: = In(x² + y- sin sin-1 a2.. ||

A:

Q: 3 sin (x) 4- V1-x2

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

Q: 1. f(x) = 4x³ · cos x

A:

Q: lim h-0 2h sin(x² )dx = -2h cos(1) sin(1)

A:

Q: 4. sin2xcosx + sin x 1 xE[-27, Zn]

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Q: (sin'x-4)dx- tanx dy=

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Q: x+2 lim sin - x+6x+8 3 2.

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Q: x sin-x dx

A:

Q: f(x)=x+sinx / x2+cosx f '(x)=?

A: Given function: Now,

Q: e) lim 1-cost sin²)

A:

Q: x sin(2x2)dx

A: We have to find the integral.

Q: sin 5x. lim X0 5x. Cos 5x

A: Given limit, limx→0sin 5x5x·cos 5x

Q: (3) csc¯'x = sin X 1/

A:

Q: f(x csc² 6x - x cos 6x)dx

A: Given: I=∫xcsc26x-xcos6xdx   As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx And a).…

Q: | cos²x dx 1- sinx cos-x

A: Given. f(x) = cos2 x/(1-sinx) We need to calculate the indefinite integration of above function

Q: x³ cos(x²) dx = k – | x sin(x²) dx

A: As per Bartleby guideline for more than one questions asked only first is to be answered please…

Q: 4. Determine the equation of the axis of the function f (x) = -3 sin (x – 2)- 6

A: Given that: f(x)=-3sinπ4(x-2)-6

Q: x2 sin x+2x cos x f'(x) = cos²x

A:

Q: h(x)= sin¯' 3x– 6x sec x² -1

A: The given function is  h(x)=sin-13x-6xsec-1x2

Q: 비신부 4 x² sin(2x) dx

A: Given : ∫827dxx-x3

Q: 7. x sin(x²) dx = Choose...

A:

Q: (sin (x))2 dx V1-x2

A: The given integral is

Q: 2x sin-1(x²)dx =

A: This question is taken from the indefinite integral in which we have to choose the correct option…

Q: √ x³ e-x sin x dx 0

A: To solve the given integral  ∫0∞x3e-xsinxdx

Q: 4. (e) sinx-cos" xr sinx-

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

Q: | sin´x-cos²x dx

A:

Q: sin(x) dx J1- cos²(x)

A: ∫sinx dx1-cos2x Put, cosx=t⇒-sinx=dtdx⇒-sinx dx=dt⇒sinx dx=-dt

Q: /4 g- x sin x dx

A: Given integral is ∫0π4x sin(x)dx So here f(x) = x sin(x) As π4 ≈ 0.785 Let n = 5  => h = 0.157…

Q: [x* sin 3.xdx

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: e2x+Inx² sin x² dx -+fe²x cos x² dx

A: This is a problem related to integration. Based on the general formula we will solve the problem.

Q: d -(cos(x² – 2x)) dx Evaluate

A:

Q: SIV2 2x sin-(x²)dx 1//2 1

A: the given integral is: we have to evaluate the given integral.

Q: 2.) (3x + x2) sin(2x) dx Use whatever method you want to

A: Part 1

Q: Find a fixed point of x=g(x)=}+}sin(3x). ||

A: Given that                      x=g(x)=12+14sin3x To find a fixed point of the above equation we…

Q: x – sin-'(x). dx. /1 – x²

A:

Q: 5. / x² sin 3x dx

A: We have to find the indefinite integral

Q: sin 2x J-1 x8 +x* – x² +2

A: Evalute the integration ∫-11sin2xx8+x4-x2+2dx.

Q: SVx² + 10x + 25 dx. (cos4*x – sin4*x)dx dx

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: