1. 2. 3. √(28 - 1/1/2³3) dz S(1³5 - 13/v) dy S(. cosxdx 10 sin x

Q: 7 cos?(x) sin(2x) dx

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Q: d dx A.sinh(Inx) B.–sinh(Inx) sinh(Inx) C.- X -cosh(x) D. X cosh (Inx) =

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Q: T/3 4 sin x -dx 1-4cosx

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Q: d cosh(3x? + 1) and (b) dx d (sinh x tanh x). dx Calculate (a)

A: Given: a ddxcosh3x2+1b ddxsinhx tanhx

Q: Problem The function ar'y? + b cos(ry) is continuous. (Why?) Evaluate lim(z,y)¬(0,0) 3822y² +21…

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Q: a. +4 cos x +6 sec x – 5 ) dx 2 x5

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Q: fe²x+Inx² sin x² dx = - +1/√√e²x cos x² dx

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Q: Find dy/dx. Do not simplify the answer. 4* +4 csc a.) y = log4 x-csc(4) b.) x3 y + cosh¬1 3 = e –…

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Q: Je -24 Sin Cax)dx

A: We will solve the problem

Q: 8. Find for y=√√4x (arcsin(x²+2x)) dx

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Q: (a) /4 1+3 cos² 1 d.x; COST dx3B

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Q: TT/2 S,"/e cos?x.sint x dx in tegralinin bulunvz sonucunu

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Q: 3 dx 2+4 sin x

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Q: 1. f cos³ (tan x) sec² x dx

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Q: Q5: Find for the following functions: (1) In(x - y) = xy + y³; (4) y = x sinh 2x-cosh 2x (2) y =…

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Q: f (0. 80108) = sin 3 (0. 80108) + cos 2 (0. 80108) – (0. 80108)²

A: Given,

Q: N/7 2. 4 cos x dx 3+2 sin x 9.

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Q: (5) sinh 2x = 2.sinh x.coshx %3D

A: (5)To prove the following identity sinh(2x) = 2·sinh(x)·cosh(x)

Q: •π/2 (cos x - sin x) dx

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Q: Q5: Find for the following functions: (4) y = x sinh 2x-cosh 2x (2) y = tan³√cot(7x) ; (3) y = sin²…

A: Sol:- (2) ddxtan3cot7x Apply the chain rule =3tancot7x2ddxtancot7x

Q: 8. d.x 1. 3 cos 2x + 1

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Q: 7/2 SAT sin" x cos3 x dx

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Q: 40 sin 2t where t =0

A: Given,            40sin2t where t=0

Q: Find dy/dx for 4 cos4 xsiny = 15

A: d(uv)dx=udvdx+dudxv

Q: Jx' sin x dx

A: we need to evaluate, ∫x2 sin x dx this integral can be done by integration by parts. ∫u·v dx = u·∫v…

Q: Find cos x + sin 2x dx 19. sin x

A: