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## Related Calculus Q&A

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Q: Prove that d/dx tan(x) = sec^2(x).

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Q: 7. tan' x secx dx

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Q: 1-f(secx + tanx)² dx

A: Note: As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: (B) Evaluate f tan (7x +1) sec³(7x+1) dx.

A: Click to see the answer

Q: tan (w+2n eくな foo ttait

A: We have to find value of a and b :

Q: Find if, y - x = sin(xy)

A: In this question we will use differentiation property for solving this question and after that we…

Q: Evaluate 2. S sec*x tan*xdx

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Q: Evaluate ſ tan2 2x sec 2x dx 4

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Q: 2. Suppose, f'(x) =2 cosx+sec x, -7<x<: and it is known that f()= =4. Find the function f(x)

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Q: prove that d/ dx ( sec x) =sec x tan x

A: We have to prove ddxsecx=secx tanx We know that secx=1cosx So, we have to differentiate ddx1cosx…

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Q: 22. Evaluate S tanºx sec² x dx

A: Click to see the answer

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Q: "/3 tan5x sec²x dx

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Q: d Prove that sec x tan x. sec x dx - 3.

A: Given that

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Q: 9) Show that the equation x+ sin x=1 has at least one solution in the interval0,

A: Given equation is x+sin(x)=1 which can be written as f(x)=x+sin(x)-1 We need to prove that f(x) has…

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Q: S sec4e tan30 de

A: Click to see the answer

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Q: Show that 6. 6 dx = x7/6 -x5/6 + 2– 6x1/6 + 6 tan(x/6)+ 1+ Vx

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Q: Evaluate the following integrals.

A: Consider the given integral as Apply substitution method, let Also, limits get changed.

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Q: Prove that sec x dx = In sec x+ tan x +C.

A: Here the question is solving by using u-subsitution method.

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Q: 6) - secx tanxd x

A: Click to see the answer

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Q: B- A secx(secx+ tanx)dx

A: The given integral is a definite integral. First the indefinite integral is to be calculated then…

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Q: 3 y = Vlog2 (sin5 x)

A: The rational function dydx represents the derivative of the function. Differentiation of the…

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Q: 3 y = Vlog2(sin5 x)

A: Given equation is y=log2sin5x3

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Q: 3 y = Vlog2(sin5 x)

A: Given a function, y=log2sin5x3 To find dydx, Differentiating y with respect to x,…

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Q: Sec tan (5x) dx

A: Click to see the answer

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Q: sec x is undefined

A: Click to see the answer

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Q: Evaluate f sec(4x) tan(4x)dx Select one: sec(4x) a. +C 4

A: Consider the given integral ∫sec4xtan4xdx

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Q: tan³ r sec' rdr

A: The given integral is ∫0π4tan3x sec4x dx. Let u=sec x. Then du=sec x tan x. Then, the lower limit…

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Q: 54. tan x secx dx

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Q: 19. Evaluate using u-substitution: S tan6x sec² x dx

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Q: 7. Let y = tan (3x - 2), find y'.

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Q: S tan ax secex dx 3

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Q: sec²(,Æ) 24. dx

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Q: Number 17

A: First we break sin^3 x in sin^2x*sin x, and then we replace sin^2 x by 1-cos^2 x.THen in the next…

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Q: 3 use the definition prove that sin = UsZ %3D a Tect l

A: Click to see the answer

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Q: 5. Use 2- step substitution tan 4x sec² (4x) dx

A: To solve the integration

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Q: Evaluate tan (7x+1) sec³(7x+1) dx .

A: Click to see the answer

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Q: S 4 sec(x) tan(x) dx

A: We will use standard formula here

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Q: (b) tan (r) sec (x) dr 3

A: Explanation of the answer is as follows

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Q: Find the upper bound on the error if tan '(2x²) × 2x² and þx|< 0.2

A: In this question, we find the error bound for the given expansion tan-1(2x3)≈2x3 for |x|<0.2 We…

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Q: Compute / tan x · sec a dæ.

A: detailed solution is given below

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Q: Find all values of x in the interval [0,2pi) Tanxcsc^2x-2tanx=0

A: Click to see the answer

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Q: As x → G) ,sec x → ?

A: Draw the graph of sec(x) To find the value of sec(x) as x tends to (π/2)-

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Q: 5. Use implicit differentiation to find 8z and x² + 4y? + 92? = 8 %3D

A: 5. Some equations in x and y don't explicitly define y as a function of x. In such cases we do…

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Q: Show that 1 − cos x = x2/2 with an error less than 0.003 for |x| < 1/2.

A: Given: 1-cos x =x22; |error|<0.003Formula: The…

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Q: 3) fx x sin 2x dx

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

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Q: S(4 sec x + 3 tan x)²dx

A: We will solve the problem

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Q: Find S(3/(x) + cos7x + 4 + 20) dx None x1.5 sin7x + 4log x + 20

A: Now, We will find the integration to the given problems. Integration of cosec2x dx = - cot x +c

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Q: ? secv - tanv = 1/secv + tanv

A: solution is given below

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Q: Show that, for real values of x, 3 sin x f(x) 2 + cos x cannot have a value greater than 3 or a…

A: To show that the minimum and maximum value of the function is -√3 and √3

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Q: S sec 3B tan 33 dB

A: The given integral is indefinite integral.