55-58 What is wrong with the equation? omma lo noq sill 19vo 3 8 55. 56. 57. S-²/₂² - 2 4 X TT .-4 dx TT/3 -1 X 3 = dx -3 X = -3 2 14 se sec 0 tan 0 d0 = sec 0]/3 = -3 TT/3 13 L- -2 12 1₁ 2 X 3 2 58. [sec²x dx = tan x] nx]0=0 wod

Q: •π/4 sec 0 tan60 de

A: Given the idefinite integration.

Q: 6 tan (10x) dx

A:

Q: |x° (x³ + 2)³ dx 2)3 dx

A:

Q: 3. fe-3 | (2 — Зесоt 3x) сsc? 3x dx 3e Cot:

A:

Q: Provide an example of a function which is continuous on all of R and differentiable on all of R…

A: The function is y=x+4 (shown in the figure above)

Q: tan-lx dx 3+ 3x2 1. Evaluate

A:

Q: 2-[x³.e* dx 3- S x².cosx dx

A:

Q: 34. w/4 sec 0 tan 0 de

A:

Q: cos-1 3x dx 1- 9x2 3

A: Answer

Q: The replacement cost for construction of the building in the figure below is $80/ft?. 75 ft 46ft 48…

A: Given figure is

Q: dx 2. 2 - sinx

A:

Q: COS X

A:

Q: 3 4 dx . (5+2x)' 3. Evaluate

A:

Q: 7/2 [sec¹ x tan³ x dx 4. 0

A: As per bartleby guidelines we only give first question answers. Please repost for other parts.

Q: sinh e/2 dx is equal to e/2 2 cosh e 7/2 + C 2 cosh e"/2 + C O - (sinh e /2) + C 1 O -2 cosh e I/2 +…

A:

Q: I/3 1 dx Ja16 \1+ tanx. R/6

A: SOLUTION:Given let   I = ∫π6π311+tan xdx= ∫π6π3cos xcos x+sin xdx=12∫π6π32cos xcos x+sin…

Q: 6e(6 sin 3x) dx sec 3x

A: Inverse of sec3x is cos3x Cos3x=(1/Sec3x) Putting in the integration problem

Q: /2 3 d.x 2 cos x +1 -7/3

A: Given, ∫-π3π232cosx+1dx We have to evaluate the definite integral.

Q: 41. TT/3 sec 0 tan 0 de

A: The given problem is to evaluate the given definite integral over the given limits.

Q: 3. tan (1/1) dr

A:

Q: dx

A:

Q: | cos COS 3 x dx=? COS

A:

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

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

Q: @ y = x tan 2x

A:

Q: e Six dx xX (1+lux)

A: We use the method of substitution to evaluate the given integral

Q: 1. L 16x dx 2. o &. + 2 +1 3. (sec x- tan x dx dx 4. cos x tan x 1/4

A:

Q: dy (2x sin h -+3y cos h -) dx Зх cos h - 2 tan h 3 + ||

A: According to the trigonometric hyperbolic formula: tanh(x)=sinh(x)cosh(x)        ...(i) Distributive…

Q: dx 3. S. 5sin x+12 cos x

A:

Q: f dx 3sinhx - 5 cosh x

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: /3 dx cos x tan x /4

A:

Q: e" du -8 3 eva du 4 -1 3 e" du -2

A: Just use a substitution and find that Last option is correct.

Q: •TT/6 4. S sinx sin2x sin3x dx

A:

Q: 2x+ 17 3.5 dx x* +6 4. ſ cot63x dx

A:

Q: Solve d²y cot x dx² dy - sin² dx sin²x.y = cos x - cos³

A:

Q: 2-dy dy. y2 dx 12 ナ /2

A: We have to solve the given equation. The given equation is 2-dydX=y2X2+yX+1    ......(1)

Q: D m 0=313 3. Q. I- A Cose C. COSE = Sine e. I Sec 20 b. Sin ²0+ - =1 1 d. _ _I tono It. f. 1+_ =…

A:

Q: Differentiate. y' = || Y = 7-tan(x) y X

A: