Explain why trigonometric substitution eannot be used where x = 2 sin 0 on dx 4 – x2

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A: Given: To prove, The given graph is shown below,

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A: The given integral is ∫sin53xcos43xdx.

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A: we have to solve the integral

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A: In some cases an integral can be converted to a standard integral using an appropriate substitution.…

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Q: 5.) Scesin 2 sinl 3x) - 5 cos ( 2x))·dx

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A: Odd function :- When the function is of the form f(-x)=-f(x) i.e., when the value remain same but…

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A: We have to find the value of the given integral ∫sinx1-sin2xdx

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Q: Show that cos( arctan( sin( arccot(x)))) = sqrt{{x^2+1}/{x^2+2}}

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Q: Consider these two trigonometric functions: f(x) = 3 sin(2x) +4 %3D s(x) - 3 sin(2x- + 4 -

A: f(x)=3sin(2x)+4applying formula of sin2xsin2x=2sinxcosxafter applying sin2x…

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Q: .3 Use Trigonometric Substitution to evaluate: dx 2 |1+4x²

A: This question is based on indefinite integral.

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Q: 2. Describe a way of evaluating sin° x dx.

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Q: ≤ Lºin( Verify that f(x) = sin() is an odd function and use that fact to show that 0 < sin(√√x) dx ≤…

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Q: cos? y 1- sin y

A: sin2x + cos2x = 1

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Q: What is the antiderivative of sin^2(x) + 2sin(x)?

A: Antiderivative of sin^2(x) + 2sin(x) is given by,  ∫[ sin2x + 2sinx ]dx =∫sin2x dx + ∫2sinx dx

Q: What is the antiderivative of  2(sin(2x))/sin(x)?

A: The anti-derivative of a function is a differentiable function whose derivative is equal to the…

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Q: The x2-4 dx can only be evaluated using trigonometric substitution technique. A True False

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Q: Use Trigonometric substitution to compute:

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A: Topic  =trigonometry

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A: Explanation and Solution is given below....

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Q: If y cos (sin2x), then -6 cos (sin 2x) sin (sin 2x) cos(2x) dy dx True False O

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…