Evaluate the trigonometric integral 243 sec* 0 tan? Od0.

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A: To determine: The value of the integral tan5x dx using the computer algebra system and also by using…

Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral.…

A: By applying  trigonometric substitution

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Q: Evaluate the integral.

A: We have to evaluate ∫tan5θ sec3θ dθ This can be written as: I=∫tan4θ sec2θ secθ tanθ dθ=∫tan2θ2sec2θ…

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A: Let  I=∫dxx2+c⇒I=∫dxx2+c2⇒I=lnx+c+x2c+k

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A: Given,

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Q: Find the trigonometric integral ∫ tan2 x /sec3 x   dx

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Q: sin ede 1- cos e 8.

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A:

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A: To find: ∫0π3∫0π3tanxsinydydx

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A: ∫sinwdw

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A:

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A: We have to evaluate the following integrals,

Q: | cos (5x) cos (3x)dx

A: Given integral: ∫cos5xcos3xdx We know, cosαcosβ=12cosα+β+cosα-β. Also, ∫cosxdx=sinx+c.

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Q: Evaluate the integral ∫cos√θ/ √θ sin2 √θ dθ

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A: ∫sin3θ cos6θ dθ

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Q: Evaluate the integral. [sin' xVcosx dx

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Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integralsas necessary

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Q: sec* 0 tan“ Od0

A: Using Substitution,

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Q: Use trigonometric substitution to find or evaluate the integral ∫√(25 − 9x2 )dx

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Q: 4 CSC* x

A: ∫csc4xco2xdx

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A: use the formula

Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. dx…

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A: