2. y=cos cot x

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A:

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A: Given: -

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A:

Q: | cos'x cot x dx 3.

A: To integrate the given.

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A: For the given  y = Cos4(sin3x) dy/dx is calculated as shown below

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A:

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A: We will differentiate the given function.

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A:

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A: Definite integration

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A:

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A: You are asked for multiple questions. As per our guideline we can do only one. Please repost others.

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A:

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A:

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A: First simplify then integrate

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A:

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A:

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A: The given function,  y=ar cosx3

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A:

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A: Given that      2y - sin-1(x2+1) = sin2(x4) + cos2(x4) Here we have to find dy/dx.

Q: 1. Find of the trigonometric function: dx y=−10x + 3 cosx

A: Derivative of Cosx is -Sinx

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A: Given: y=cosxx for differentiating given expression, we take log both side, then differentiating it

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A:

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A: Let y=(cos(x))cos(x) By using the logarithmic differentiation, Apply logarithm on both side…

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Q: (i) | sin' xcos xdx .

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: | cos (nt)sin(at) dt Find

A: This integral can be solved by the method of substitution.

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Q: Find y' if y = arc sin cos x %3D O -100% O 200% -200% O 300%

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A: The given equations of curves             y = cos x =f(x)             y = sin x = g(x), bounded by…

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Q: 16. S cot xdx /1 + In sin x

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A: The given integral is ∫sin x coscos x dx. Let u=cos x. Then, du=-sin x dx.

Q: 13. Find , if y = sin x+cosx cos x dx

A:

Q: Determine the period as requested. 5) Feriod of y 5 sin 4x A) 4 C)2 -1/2

A: In this question, we want to find the period of the given function.