sin x 2. Find f'(x) if f(x) = 1 - cos x %3D 1 3. Simplify your result in (2) to show that f'(x) %3D cos x -1 4. Find f'(x) if f(x) = sec x (1 + tan x). %3D

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A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

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A: Here we use use substitution method to evaluate the given integral.

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A:

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A:

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A: The integral of ∫sin5(3x) cos3(3x) dx is sin5(3x) cos3(3x). If we need to find the integration then…

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A:

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A: The given integral is ∫x2+2xcosx dx. It is known that ∫udv=uv-∫vdu. Let u=x2+2x   and  dv=cosxdx.…

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A: In some cases indefinite integrals can be converted to standard integrals using an appropriate…

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

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A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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A: By using Simpson/Trapoizodal rule.

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Q: Differentiate y = coS 7 + sin4x+ x cos x + 4 with respect to x. 1.

A: 1) The given equation is y=cosπ+sin-14x+xcosx+4x3 To find: dydx

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A: Topic:- derivatives

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A: Introduction :

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A:

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A: Since you have asked multiple questions solving first 3 questions. Please repost other problems.

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A: we have to find the anti derivative of ∫sinx22xdx...............1 first we put in place of x2 =z…

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A:

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A: image is attached

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A: Using the formula of cos(A-B)=cosAcosB+sinAsinB. Explanation is given below..

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A: We have to verify the reduction formula using integration by parts, ∫cosn x dx=cosn-1 x sin…

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A:

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A: We have to find the value of the integral : ∫cos(x)ln(x)dx-∫sin(x)1xln(x)2dx