The nth derivatives of sinªx is ㅎ4"cos(4x +

Q: find dy/dxy=cosx/1+sinx

A: To find the derivative of the given function y  = cos(x)/(1 + sin(x)).Use the quotient rule for…

Q: Explain how to find ∫ cos15 x dx without actually integrating.

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Q: Find the first derivative: y = 3 arcsin(cos 2x) %3D O-7 O -8 O -4 O-6 O-5

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Q: find x,sin(2cos-1(cot(2tan-1x)))=0

A: Given: -

Q: Integrate  cos(8x) . sin^2 (8x)

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Q: Find the period of the function f(x) = sin(1.05x).  Provide 4 decimal places.

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Q: By using the relationship between the hyperbolic sine function and its Ssinh- (x)] = V. inverse,…

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Q: Calculate f 6 sinx cos² x dx.

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Q: Evaluate ſ sin³ 2x dx

A: This integral can be solved by two methods: 1. By using substitution method 2. By using…

Q: sin xV1 cos xdx

A: ∫sinx1-cosx dxSubstitute t=1-cosxt=1-cosxDifferentiatedt=sinx dx

Q: Find the indefinite integral. ∫sin7 2x cos 2x dx

A: Consider the given integral ∫sin72xcos2xdx

Q: Find the equation of a cosine wave that is obtained by shifting the graph of y = cos x to the left 9…

A: Please see the answer in step 2

Q: Evaluate ∫sin 3x cos 5x dx

A: Given: I=∫sin3xcos5xdx                                                          ...1 for finding…

Q: Find the first and second derivatives of r = [3 cos 2t, 3 sin 2t , 4t].

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Q: /2 Evaluate sin 20 de sin20 x+ cos x 20

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Q: Find the equation of a sine wave that is obtained by shifting the graph of y=sin(x) to the right 2…

A: The general equation that should be formmed is as follows:           y-A = Bsin(x-C)   where, A…

Q: Evaluate cos x -2 sinx sin 2x dx Round to 4 decimal places.

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Q: For y = - 2 sin 4x its amplitude is its period is its horizontal shift is Enter exact values.

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Q: Evaluate 2 sin² x cos³ x dx 0,

A: Given that: ∫0π2sin2x.cos3xdx

Q: Evaluate D(sinx – 4e2) (A -cos x-32 ex

A: The given function is sinx-4e2x. Evaluate the first derivative as follows. Thus, the first…

Q: Evaluate integral sin^4(x) dx

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Q: Integrate with respect to x, the square root of (1-cos5x)/2

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Q: Find ∫sin23x cos 3x dx

A: Given:                  ∫sin2(3x) cos(3x)dx   Integrating:                    Let's apply the…

Q: Find a value of x that satisfies the equation sin 20o cos (x).

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Q: evaluate y' for y = cos12x - sin^2 6x

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Q: Evaluate sin 3x cos 5x dx.

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Q: 1. ſ tan5 2x sec3 2x dx

A: Let,I=∫tan52xsec32xdxI=∫sin52xcos52x1cos32xdxI=∫sin52xcos82xdxI=∫sin42xcos82xsin(2x)dxusing…

Q: S sin³ x ·cosx dx

A: Given that .∫sin3x cosx dx let I= ∫sin3x cosx dx

Q: (7) Find sin(5x) cos(4x) dx

A: Topic:- application of integration     Note:- as per our guideline if more than one question…

Q: determine the value of sin^2 x + cos^2 x for x =10 degrees

A: Given x= 10 degrees By trigonometric formula we know that , sin2(x)+cos2(x)=1 where x∈-∞,∞

Q: find integral sin 5 dx

A: Given integral can be written as

Q: Prove that csc2A tan(2A) = 2cosA/cos(2A)sinA

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Q: 4 dx 1– cos(4x)

A: We to evaluate the integral ∫4 dx1 - cos 4x

Q: Which is the derivative of y= sin In(5x +2)? * 5 cos In(5x + 2) In 5 5Cos In (5x+2) 5x+2 O Option 3…

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Q: Find cos(2x) Given that sinx= 4/5 and 0<x≤ pi/2

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Q: Ax) = / 3 sinx – cosx

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Q: sinx In (2) cos:

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Q: • TT/3 1– sinx' |dx From right endpoint 1- cscx + n = 4 n/4 coS X

A: We have to find the right end point of the following expression   The given expression is  we…

Q: Evaluate sin integral (4x) cos(5x) dx

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Q: Evaluate cosx (2 + sin x)°dx

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Q: . Evaluate cos 3x sin² 3x dx

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Q: Evaluate 1) S sin ³x cos³x dx

A: Given: ∫sin3(x)cos3(x) dx

Q: Find ∫sin 5x cos 4x dx.

A: Given, ∫sin5x.cos4xdx