Evaluate using trigonometric substitution ∫1/(x^2√1+4x^2)dx

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A: Simplification

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A: Consider the given expression: tancos-132 Here, the objective is to evaluate the given expression.

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A: Find your answer below

Q: Consider the following equation:16sec^2(x)+11csc(x)+7cot^2(x)+20tan(x)a. Solve the equation using…

A: The objective of the question is to evaluate the given trigonometric expression for two different…

Q: Evaluate sin2xlogtanx dx 0.

A: We will evaluate the definite intrgral as following.

Q: 2. Is trigonometric substitution needed to evaluate /9 - x² dx?

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Q: Evaluate tanh^2 (4-4i) sech (2+2i). Express your answer in rectangular form in 4 decimal places.

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Q: Use a trigonometric substitution to calculate xVx² + 4 dx

A: Consider ∫x3x2+4dx, Take x=2tanθ, dx=2sec2θdθ So,…

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Q: 2. Use Theorem 4 to evaluate (3x +2x2) dx

A: Given ∫01 (3x+2x2)We know that ∫xn=xn+1n+1+C

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A: If , then the independent variable x is called the input of the function and the dependent variable…

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Q: t chawthat (1.1), C6.0), Gesz), (2,-8) are concyclic and find the cruabion of the côncle on which…

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Q: Perform the Multiplication (sinx+cosx)^2

A: We can just perform the multiplication and trignometrical property.