To evaluate the integral /V4 + x² dx using a trigonometric substitution, use the (4+: substitution (type "theta" for 0). This transforms the integral into 4 + x² dx de

Q: Given Tex+4 dx. Using a suitable trigonometric substitution, the resulting integral in terms of 0 is…

A: Given ∫19x2+4dx Let substitute x=23tanθ. dxdθ=23sec2θdx=23sec2θ Substituting the value, we get…

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. 4 dx +C (1 – x2)ž NOTE: Enter the exact answer, without any trigonometric…

A: This question can be solved by the concept of integration by substitution(without any trigonometric…

Q: Vx² + 1 dx .2

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Q: Evaluate the integral by hand, and check your answer with a CAS if you have one. NOTE: Enter the…

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Q: Find the indefinite integral J J9+x? dx using an appropriate trigonometric substitution.

A: Given :               I = x29-x2 dx         Substituting x = 3 sin u and dx = 3 cos u du

Q: To evaluate the integral 23 V2-2x 3 da, using trigonometric substitution, which substitution should…

A: Given, ∫x3x2-2x-3dx Find which trigonometric substitution is used to evaluate the above given…

Q: The resulting integral of sin -cos- sino do has the form --F(0)+C. What should be the value of e to…

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Q: use the indicated substitution to evaluate the integral.

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Q: After choosing the appropriate trigonometric substitution the integral dx, becomes

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Q: When the integral is evaluated by trigonometric substitution, e*V4 – e2x

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Q: Evaluate the following integral using trigonometric substitution. 36x² - 49 7 S² dx, x> 3 x³ 2 √36x²…

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Q: To evaluate f x?Vi – x²dx using trigonometric substitution, what is the new integral in terms of 0?…

A: We are given with the integral and evaluated

Q: Use trigonometric substitution to find or evaluate the integral

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Q: Evaluate the following integral using trigonometric substitution. 1 2 dx 3 - (4x +1 )

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Q: use a geometry formula to find the exact value of the definite integral  4x dx on the interval [0,b]

A: The given function is 4x with the interval [0,b].

Q: Evaluate the following integral using trigonometric substitution. dx (1+256x?) dx (1+256x2) (Type an…

A: To find: The value of integral ∫dx1+256x232. Formula used: Trigonometric relation: 1+tan2t=sec2t.…

Q: The resulting integral of sin-cos-sino de has the form -F(@) +C What should be the value of e to…

A: We know that integration of sinx is - cosx and we know that trigonometry relation is  Sin2x =  2sinx…

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

A: We have to find the integral

Q: The resulting integral of sin -cos-sino de has the form -F(0)+C- What should be the value of e to…

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Q: To evaluate dx using trigonometric substitution, which of the following is the new integral form in…

A: Given integral is ∫x2-x2-1 dx.

Q: Consider the indefinite integral dx: (2² + 2)? This can be transformed into a basic integral by…

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Q: To evaluate the integral dz, V 2-3 using trigonometric substitution, which substitution should you…

A: As the question only demanded the trigonometric substitution so I have only solved just to reach the…

Q: 1. a° cos(2)da = %3D

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Q: Vr2 – 3 dx

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Q: r 4/V3 dx Vx + 16

A: The solution of above definite integral is written in step 2.

Q: Evaluate the integral using the indicated trigonometric substitution. 2x3 dx, x² + 9 I = 3 tan(0)

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Q: T 6. 1+sin 0 cos? 0

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Q: Evaluate the integral J dx using trigonometric substitution. x²/16–a?

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Q: Find the integral using an appropriate trigonometric substitution V25x2 – 1 dx x4

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Q: By using a trigonometric substitution x = 3sece ,where 0 s0 < 27 "he integral 3 Vx² - 9 dx can be…

A: We have to choose the correct answer from the given option according to the given condition

Q: sin(x) a) I = dx 1+ cos(x)

A: NOTE: You have posted multiple questions we have given answers to the first question for you if…

Q: Given dx. Using a suitable trigonometric substitution, the resulting integral in terms of 0 is…

A: Given: ∫19x2+4dx Let I= ∫19x2+4dx To solve this we need to the trigonometric substitution

Q: Given the integral 5x dx x2 - 1 Use the technique that we went over in class to find "u", "u' ", and…

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Q: The resulting integral of sin -cos-sin@ do has the form --F(0) + C. What should be the value of e to…

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Q: Consider the following integral 1 where r > 2 Use the method of trigonometric substitution to…

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Q: For an integral of the form f sin™(x)cos"(x)dx, saving one sine factor and converting the rest to…

A: Given data÷

Q: Find the integral using an appropriate trigonometric substitution V25x² – 1 dx

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Q: Find the integral using an appropriate trigonometric substitution. J ×V36 - x* dx

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Q: For the given integral dx sin-cot- 2 2 what is u?

A: Take u=x/2 then integrate it

Q: Evaluate the indefinite integral sin r cos r dr, by using an appropriate trigonometric substitution.

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Q: 03 cos(02) dO /2

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Q: Use the trigonometric substitution r 2 sin 0 to compute the integral -2 VA – r² dx

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Q: Given V9x? + 4 ax. Using a suitable trigonometric substitution, the resulting integral in terms of…

A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to…

Q: V2x² – 4 dx V2

A: ∫222x2-4x dx Consider, ∫2x2-4x dx Put, x=2 secθ⇒1=2 secθ tanθ dθdx⇒dx=2 secθ tanθ dθ Therefore,…

Q: To evaluate the integral x² dx, x² -4x + 20 using trigonometric substitution, which substitution…

A: Answer is option B.

Q: The resulting integral of sin -cos- sind de has the form -F(0) +C. What should be the value of e to…

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Q: For the given integral dx sin2x/1+ cotx what is u? note: no space between symbols in your answer

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Q: Evaluate the integral f v96 + 16x² dx using trigonometric substitution.

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Q: After choosing the appropriate trigonometric substitution the integral du, becomes

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