A. Evaluate. 1 (sinhx - sinhx +coshx cosh?x 1. dx

Q: sinh x dx 1+ cosh x

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Q: Fined the inteym Sx cosx da @ S cos?x dx X COSX tan'x dx

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Q: Estimate sinx? dx with an error of less than 0.001.

A: Given ∫01sin(x2)dx

Q: (x?1) ore sin2x dx

A: Integrate by parts: ∫f(x)·g(x) dx = f(x)·∫g(x) dx - ∫df(x)dx·[∫g(x) dx] dx +C

Q: S. 3 Estimate tan x dx using the midpoints of 6 rectangles.

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Q: x] denotes grea to 2 decimal pla

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Q: 7. (a) cosh?1 (b) 2 sinh² 20

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Q: 4-S cosh? Vx dx x csch vx

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Q: sinh? 2x dx 3sinh? 2xdx

A: Given ∫-3 sinh3(2x) dx ⇒∫-3 sinh3(2x) dx⇒-3∫sinh3(2x) dx Now solving ∫sinh3(2x) dx substitute…

Q: C. y = cosh¯'(x² + 1) + tanh-1(sinx) + sinh-'(cothx²)

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Q: find x for which = 0. dx

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Q: In the given question, verify the identity:- sinh(x + y) = sinh x cosh y + cosh x sinh y

A: Consider the provided identity, sinhx+y=sinhx coshy+coshx sinhy Verify the provided identity.…

Q: Evaluate (x) values for the following equation 2 cosh(2x) – sinh(2x) = 2 1 Add file

A: Explanation of the solution is given below...

Q: Use a change of variables or the table to evaluate the following definite integral. 3 tan x sec x dx

A: The given integral is: I=∫0π4 3 tan x sec2x dx

Q: sinh5x S sinh*xcoshx dx is a)True b)False

A: This is true.

Q: Find (d/dx) (sqrt(x)/cos(x))

A: Firstly, we use quotient rule of differentiation  and , we use the power rule of differentiation to…

Q: Ex Find dy tanhx sinhx tanhx csch x --5 cosh X

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Q: SinX d x cosx +2

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Q: Evaluate L, sinh 3t (3

A: L13sinh3tUse the constant multiplication property of Laplace Transform:For function ft and constant…

Q: Find the length of y=ln(sinx) for Pi/6≤x≤Pi/3.

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Q: 8) Find the dexivative of fex) - sinx cos x, Write your answer Single term. as a

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Q: If e" = a find the value of cosh(x) for a = 7.515 to 3 decimal places.

A: we will use the formula for cosh(x) cosh(x)=ex+e-x2

Q: evaluate the integrals

A: Substitute x=cos θ⇒dx=-sin θ dθ

Q: d 61. tanh(e*) = e* sech²(e*) dx

A: It is given that, ddxtanhex=exsech2ex.

Q: Q2 Find the value of x and then check. 4coshx + sinhx = 4 %3D

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Q: s sinzx cosx dx

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Q: So Si S*x 1 су-х ху dzdydx

A: Let the integral be  I = ∫01∫x1∫0y-xxydzdydx 'I' can be solved directly by integrating individual…

Q: [1+cot 2(In x2)]* dx

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Q: (coshx – sinhx)? dx =

A: To evaluate the given integral.

Q: S sin2xsecx dx

A: LetI=∫0πsin2xsecxdxI=∫0π2sin2xsecxdx+∫π2πsin2xsecxdxWe know that sin(2x)=2sin(x).cos(x)I=∫0π2secx·…

Q: S d0 cosh 0 + sinh

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Q: When evaluated, | x sinh 3x² dx is equal to A. cosh3x? +C B. cosh3x? +C C. 3 cosh3x? +C D. 6 cosh3x…

A: we will let  3x2= t  to solve this question.

Q: if x = acos30, y = asin30 , find /1 + 2 dx

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Q: Find the antiderivative of sin(square root of 5x)

A: Consider the given function:

Q: cosh?x-sinh²x = 1 %3D

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Q: 2. L{cosh 3t sin 3t}

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Q: S tan |2x dx Evaluate

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Q: dx A) cosh (*) O tan sin sinh

A: Given query is to find the value of the integral.

Q: S( tan + cot )2 dx. | 3 3

A: We will simplify integrant using trigonometric identities

Q: 4. Evaluate if they exist: (a) sinh x dx (b) lim , sinh x dx r+00

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Q: Evaluate sin (x) e-x dx by use Simpson's rule. h=0.5

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Q: ſ(2x+5)dx Use geometry to evaluate

A: Follow next step

Q: 4. S cot63x dx de 5.55 sin

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

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Q: (4x Use your calculator to estimate * (sin(x2) + )dx = O A. 4.320 О в. 4.734 Ос. 3.628 O D. 40.078…

A: Integral.

Q: Simh3X= 3 Sinht+4 Sinh?x

A: This identity can be proved by using the properties and identities of hyperbolic functions. The…

Q: d 53. cosh? (9 – 31) = –6 cosh(9 – 3t) sinh(9 – 3t) dt

A: Given derivative is ddtcosh29-3t.

Q: sinh(cot(x)) x2 + 1 dx

A: To Determine: find the integration Given: we have ∫sinhcot-1xx2+1dx Explanation: we have an integral…

Q: coth(: In(sinh r) + tanh?x) dx

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Q: Sy sinh dy a

A: