Use an appropriate trigonometric substitution to evaluate the following definite integral 1 2+1 da. V4– 12

Q: 19. Find the amplitude of each trig function below:19a. 2 sin(3x), 19b. 3 cos(5x), 19c. −7 cos(4x)

A: The objective of this question is to find the amplitude of the given trigonometric functions. The…

Q: dx v16+x? 2) Use a trigonometric substitution to help integrate: Clearly show what your values of x…

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Q: TC 4. Give the exact value of sin (- 12

A: The given trigonometry ratios is sinπ12

Q: + C,? What should be the value of A so that f A : sin (6x²) dx = - cos(5x-) %3D 4 A. x С. Зх В. 2х…

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Q: Use TRIGONOMETRIC SUBSTITUTION 1 to find f dm m²V9-m2

A: LetI=∫1m29-m2dmI=∫1m232-m2dmSubstitute m=3sin(x)Differentiate…

Q: Find cot 0. [?]V] A-6, -3/5)

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Q: x dx in two ways: using the direct substitution u = x² – 4 x? - 4 and by trigonometric 11. Evaluate…

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Q: Make the trigonometric substitution x=atanθ for −π/20. Simplify the resulting…

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Q: Calculate x²+y² =4 and Sin (yetp) dA,D between. ty2 = 16 abore y=0 2 %3D

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Q: Complete the square and give a substitution (not necessarily trigonometric) which could be used to…

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Q: The value of sin( 2 sin- = Select one: a. 4V5 O b. 9 Oc. 2v2 3 24 O d. 25 O e. none

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Q: 345÷4

A: 345÷4 Perform division

Q: b=2 and sin v= 5/17. evaluate a

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Q: | Vx² + 16 Use an appropriate trigonometric substitution to evaluate dx.

A: We have given indefinite integration with respect to x. While solving the indefinite integral, we…

Q: Integrate the function. Use trigonometric substitution. dx V9 -x2

A: The trigonometric substitution used is x=3 sin θ

Q: Determine the signs of the six trigonometric functions of an angle in standard position with the…

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