Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.) x = 8 tan(0) dx, x + 64 Sketch and label the associated right triangle. Vx? + 64 8 V64 - x² 8 Vx² + 64 x² – 64 8 8

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) e40…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Evaluate the integral. dx :+ C J 22 Va2 – 36 x² /x? - NOTE: Enter the fully simplified answer with…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: I = ∫dxx2x2-64   Put,          x = 8 secθ        dx = 8 secθtanθdθAlso,          θ = sec-1x8

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Q: Evaluate the given integral using the substitution (or method) indicated. (Use C for the constant of…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: (d) Evaluate dx exactly and show that the result is (Hint: substitute x = 4 tan u.) 1+ x2 Then, find…

A: Trapezoidal rule  (h/2)[f(x_0)+2(f(x_1)+f(x_2)+...+f(x_(n-1))+f(x_n)]

Q: (c) Use integration by parts to evaluate the following integrals: √ 2 2 e 3x sin2x. dx

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Q: 2) Use the appropriate trigonometric substitution to transform the integral into an integral in the…

A: “Since you have asked multiple question, we will solve one question for you. If you want any…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: Topic- Integration

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: The given integral is: I=∫x3x2+36dx

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Q: Using the trigonometric substitution, the integral xp (x2 - 36) V x2 - 36 is equal to the integral,…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: We have to evaluate the given integral using the indicated trigonometric substitution. ∫x3x2+49dx ,…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.…

A: Given that: ∫x4x5-2dx       , u=x5-2

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