cos(t) t4 COS f(t) =

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A: Indefinite integral: - The term "indefinite integral" refers to an integral that has no upper or…

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A: The solution is given as

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A:

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A: Perform integration

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Q: Sinx 19)Let E(x)= Itt" dt for X in (-oo, co). Find F'X)

A: Explanation of the answer is as follows

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Q: Evaluate the integral.

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A: We have to find the derivative of the given function    The given function is  f(x)=cos(x)1-sin(x)…

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A: Use substitution method.  Convert cos(2x) = 2cos^2(x) -1

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A: We can use substitution technique of integration. In The substitution technique of integration , we…

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A: Let sin x = t , hence, cos x dx=dt . The integral, ∫(cos x)(sin x)1-sin xdx can be written as ∫(sin…

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A: LetI=∫0πx3cosxdxUse integral by partsI=x3∫cos(x)dx-∫∫cosxdx.ddx(x3)dxI=x3sinx-∫ 3x2sinxdx0π…

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A: Given that: ecos2xcos(e2x)

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A:

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A: Given: ∫ sin3(x)  cos(x) dx We have to evaluate the given integral.

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A: We have to prove that the given integral is true.

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A:

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A: Since you have posted a question with multiple sub-parts, as per the company guidelines we will…

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A: Use simple trigonometry relation.

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A: SOLUTION-

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

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A:

Q: Differentiate the function.

A: Consider the following equation: y=e-2tcos4t Differentiate y with respect to t: dydt=ddte-2tcos4t…

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A: Integral of a function is the anti derivative of the function, meaning area of the graph of the…

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A: For the solution of the problem follow the next steps.

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Q: Question1. Find the derivative w.r. tx. i. f(x) = Cos (3V) (using chain rule) %3D

A: To Determine: find the derivative Given: we have fx=cos23x  Explanation: we have a function…

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Q: (c) Use fzero to find when the derivative of 5. S(x) = 9. cos(x) sin(x) is 0 in the interval (0,…

A: NOTE: As per the guidelines we are supposed to answer only one question because all parts or…

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A: Note: Here, we shall solve Bernoulli's differential equation  dxdy-x=x32sin y instead of…

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A: Here a simple python script written follow that.

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A: