Lim X:ċśc JzX メー。

Q: sec (In x)dx

A:

Q: () Y = sec

A: Given the function

Q: 44. y" +y = secr· csc x

A: Consider the equation, Let the homogeneous equation is The standard form of this equation is The…

Q: 3 tanx dx 3/ secx

A: Indefinite integral: An integral which does not have any upper limit or lower limit of integration…

Q: inverse of sec x?

A:

Q: tan e de gec e + 4 cose

A:

Q: | (sinh x)(coth’x + csch3x)

A: The solution is given in the next step.

Q: dx Transforming using miscellaneous substitution will become secx +1

A: Our Aim is to transform ∫dxsec (x)+1-(i) using miscellaneous substitution.

Q: Find and simplify whenever possible. dx y =cosh3 2x – cosh 2x - 3

A: Given y=13cosh3(2x)-cosh2x We need to find the value of dydx dydx= ddx13cosh32x-cosh2x =…

Q: (tan*Vx ) (sec²vx ) dx . b) Evaluate

A:

Q: 1- Y= sin( coshx log, 2 )

A: Given: 1-y=sincoshx log22

Q: sec°x tanxr dx

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: Find the derivative f (x) = e3x+ x (csc x + sec x)² %3D

A: Using product rule of Differentiation we find the derivative of given function.

Q: Зу" — бу' + 6у%3D е' sec x

A: Given differential equation, 3y''-6y'+6y=exsecxy''-2y'+2y=13exsecx

Q: d sech(/x) dx -1/2 sech /x tanh /x

A: Consider the following expression: sechx Differentiate the above expression with respect to x:…

Q: Evaluate fetanx sec² x dx

A:

Q: sech - x dx , 0 < x < 1

A:

Q: y=ln|sec3x + tan3x|

A:

Q: Evaluate J3 25-x² 2x3 dx. Show complete pencil-and-paper calculus-based evidence for your…

A: We have to evaluate the integral ∫342x325-x2dx.

Q: ツ End ly rー tanx Dソ= (mnx) cotx ナ (cotx) %3D

A: We differentiate the function using logarithms.

Q: _3. lim (17x – 4) х--18 А. -140 В. 310 С. -310 D. DNE

A:

Q: 21. using the substitution x = cost, evaluate Ji = dx

A:

Q: 1. y=sech (2x-1) 2. y=(x² -1) tanh

A: Solution:- I am solving question 1 and 2 for other question repost.

Q: Lim why

A:

Q: = 1 + 3y tanx

A:

Q: Solve dy *- Jxy +1 with yeo) =1 for finding yfo.075) dx take h=0-025

A: The numerical solution of the differential equation is the value of the function that satisfies the…

Q: 24) y=sinh² 3x

A:

Q: •3 sech? x tanh x dx 2

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Q: 5) y = tanx secx 6) Y = b x+1

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Q: S tan° 4x seco 4x dx а.

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Q: d) lim cos x sec (5x)

A: The given expression is :  limx→π-2cosx sex5x  Let,  x+h=π2  As x→π-2 so, h→0  cosx sec5x=cosπ2-h…

Q: ㅠ St tan5 (2x) sec² (2x) dx

A: Given:∫π2πtan5(2x)sec2(2x)dxsubstitute u=tan(2x)differentiate on both sideswe know that…

Q: 6 dx x/49 – 4 ln?(x)

A:

Q: Differentiate y = (tanx-1) /secx

A: we need to evaluate derivative of y = tan x - 1sec xthis can be done by using quotient rule. That…

Q: Differentiate: y = 5 tan? (25x) O y' = 750a? tan(25a³) sec2 (25a) O y' = 7502 tan? (25a) sec(25a*) O…

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Q: tanx/1+secx+1+secx/tanx=2cscx

A: Given,

Q: /is [sec2(x) – csc²(x)]dx Evaluate:

A:

Q: 5. y = tan 5x %3D

A: Given that y = tan5x sketch the graph. Here i attached solution of this question.

Q: |tanx dx = -In/secx|+C A In/secx + C B In/cscx +C .C -In/cscx +C D

A:

Q: Differentiate f(x)= (3x+2)^(arctan(x))

A: We can solve this problem using logarithmic derivative.

Q: |(sec (x)) dx

A:

Q: (tan"Vx ) (sec²/x) dx Evaluate

A:

Q: 2VIn 3 •VIn 3 35. dx dy ly/2

A:

Q: sec²(/x) dx 38.

A: According to the guideline we should have been able to solve only one question at a time #38

Q: Evaluate sec x dx /In(sec x + tan x)

A:

Q: Q5) Evaluate: Lyz(x + 1) dzdydx

A: our objective is to find the integration