Ind he R simplity derivatives bonot י'XcNצ d y=sinx + Sinx3

Q: If y = √√√2-3x², find encl sack the third derivative.

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Q: (2sinx+3cosx)'dx

A:

Q: Determine 3 sec(9x) tan (9x) dx

A: We have to determine the value of integral: ∫3 sec 9x tan 9x dx Solving given indefinite integral by…

Q: x – sin 2x -dx x + cos2x

A:

Q: Evaluate fa tan() da 1 글 [(22 + 2a) tan-1 ()-피+C o b을[(22+ 2a) tan-1 () + z] +C 2a) tan-1 ()- 피 +C…

A: Solve the above integration.

Q: cos (2x) dx sinx+cosx COS Evaluate:

A: the given integral is: ∫cos(2x)sinx+cosxdx we have to evaluate the given integral.

Q: y = [x+ (x + ¯ sin² 3x)°]

A:

Q: dx sech x (3 +5 sinh x)

A: Please see the explanation below.

Q: Find f), (b) f(r) tan(2r)

A: To find f’(x).

Q: 1 √₁-² 1- Evaluate -dx (1 - 3x)²

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: Hey! Done below. Please ask for further clarifications:)Explanation:1.)     f(x)=cos2x=>…

Q: sin x dx 2- cos²x CoS

A:

Q: 4 sec?x b) Find dx. V20 + tan x

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Q: cos (secx) dx 2 X - X

A: Step 1:Detailed analysis shown in below steps.  First Trigonometry ratios concept is used then…

Q: linearize the following equation to get the function f(×)=x 3 sin x + 4 cos x = e^x - 3

A: Given function is f(x)=x3sinx+4cosx=ex-3⇒f(x)=x3sinx+4cosx-ex+3=0 Let we have to linearize given…

Q: Star tan 5t dtl

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Q: you

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Q: Evaluate sec x dx VIn(sec x + tan x)

A: We will let,  ln( sec x+tan x) = t  to solve this question.

Q: 4) e (). – | T|x² – 4| CoS - 2 2x sin sin² ( T|x² 19 dx 2 -3

A: Integrate

Q: yesin 3y* dy dy 5. csc 6y

A: The question is a little incorrect. I have modified the question a bit: the denominator should be:…