133. a. Show that b. Use part (a) to evaluate f(x)dx = Jo f(a – x)dx. •7/2 sin x -dx. sin x + cos x

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Q: The suitable substitution to evaluate the integral tan (2x) dx is 4 C cos“(2x)

A: Explanation: Given that, ∫tan52xcos42xdx

Q: (d) Differentiate the following with respect to x: (ii) 2x2 sin-(e-2*)

A: As per guideline we have to solve one question Please repost other question again

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A: Given fx=asin x+1,     ∀x∈ℝ range of fx is -2≤fx≤4

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A: It is given that f(x) is odd and

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A: Option A is correct.  If we differentiate for the first time we get f'(x) = sinhx - e^(-x)  Again…

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A: We have to solve

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Q: Which of the following functions does not have the property that f(x) = f(4)(x) ? A f(x) = e¬x f(x)…

A: Which of the following functions does not have the property that fx=f4x

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Q: Integrate the following. 3. f sec?x dx tanx

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A: Given: f(x)=sinx f'x=cosx f'xx=π2=cosπ2=0

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Q: antiderivative

A: Antiderivative means to find the indefinite integral of the function.

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Q: Q3) Evaluate the following using simpson's rule; h=1 -5 x dx 1 sin x

A: Given integral :

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A: We know a function is differentiable if and only if Right hand derivative and left hand derivative…

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A: We have to find the error.

Q: Use the given substitution to evaluate the integral.

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Q: 1 dx x(In x)*

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A: The given integral is It can be written as

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A: we have to differentiate it:-

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A: (a) The reduction formula for ∫sinmxdx is given as the following.…

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Q: Which of the following functions does not have the property that f(x) =f(4)(x) ? (A f(x) = sinx B…

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Q: List the critical numbers of the following function in increasing order. Enter N in any blank that…

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Q: Find for the following function. dx x sin x 1+ Co3 X dx

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Q: E. If f(x) = sin x + In x, find f'(x). Check that your answer is reasonable by comparing the graphs…

A: f(x)= sin x+ ln x So, f'(x)= cos x +1/x

Q: Find for the following function. dx 3- cos X y = 4 + coS X

A: follow next styep

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Q: Evaluate the following integral: tan dx x2 b) (a/3 In(tan x) dx sin x cos x

A: Solved below

Q: 14 Consider the following two functions: 1 exp dx %3D (面) e() tan (2) %3D Explain why both of these…

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Q: Given that h(x) sin(2x + 1), determine functions f(x) and g(x) such that h(x) = f(g(x))

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Q: For f(x) = In(sin(x)), find f'(x)? %3D

A: Given : f(x)=ln(sinx)

Q: (a) Use the definitions above to show that d tanh x dr 1 cosh r

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Q: Evaluate the following integral π/4 x tan(x²) dx

A: Let us assume u=x2So, du=2xdxor, du2=xdx

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A: Given below clear explanation

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A: the student has informed that none are graded.

Q: f) y = sin-¹ (x² - 1)

A: The given function is y=sin-1x2-1. The derivative of the function sin-1x is 11-x2. The power rule of…

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