When applying trigonometric substitution in the integral: x5 J S -dx √4x² J is equivalent to: O a) [ 32 sec (0) de O b) √ 16 sen³ (9) sec(0)de O c) [ 16 sec (0) cot (0) de O d) 32 32 sen³ (0) de

Q: 2. Use trigonometric substitution to find each of the following integrals. Don't forget to go back…

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Q: P6. Use the trigonometric substitution to solve the following integrals. a) S dx x²-8x+1

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Q: Evaluate the definite integrals -3 a) dx b) 1. 2 c) dx d) x² dx da

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Q: By using trigonometric substitution, evaluate the following integral IVF x √²+6x+10 dz

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Q: 2y dr - y dy y (x-2y) dy, y(0) =-1 O x = 2y - e +3 %3D a y = 2r- e+3 0x= 2y-e+3 O x = 3y + 2e +1

A: Given DE is 2y dx-y dy=y(x-2y)dy ⇒dx-12dy=12(x-2y)dy⇒dx=121+x-2ydy⇒dxdy=12+x2-y⇒dxdy+x-12=12-y Which…

Q: Which of the following matchings of integrals and trigonometric substitutions is correct ? V7 -tan t…

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Q: 7 31) S dx + 6x + 25 A) sin-15 sin B) tan- tan-1 2 1 tan- 1 tan-1 D) I tan 4 1 -1 C) 2 4

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Q: Consider the integral x2 dæ, (x² + a²)³/2 where a is a positive real number.

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Q: Transform the integral fo So sin o ne do de by the substitution x = sin o cos 0, y = sin o sin 0 and…

A: The given integral is, ∫0π2∫0π2sinϕsinθ dϕdθ To substitute x=sinϕ cosθ  and  y=sinϕ sinθ The limits…

Q: Evaluate the integral using the methods covered in the text so far:                    ∫ sec2 θ tan7…

A: Given:                ∫sec2θ tan7θ dθ Apply u-substitution u=tan θ⇒du=sec2 θ dθ              =∫u7 du…

Q: Evaluate the given integral using Trigonometric Substitution 27e#dæ (6e# –9e2z +10)

A: Given integration is                                     ∫27 e4xdx6ex-9e2x+10 The formula for…

Q: Q4: a)Evaluate the integral: ( In(cosh2x) coth2x dx b) prove that sec-1x = cos-1! = Cos

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Q: Se*(4 + e*) dx Evaluate the integral of A (4 + e*)² + c B. (4 + e*)? +c (4 + e*)² + c (4 + e*)* + d…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Steve uses the trignnometric substitution tan ()to evaluate / e) de After simplification, the…

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Q: Consider the integral: 1 = √6 ²0: I 1 √x(1+x) dx. Explain the two different reasons why this…

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Q: Evaluate the integral: -12 csc 3x cot 3x cos(csc 3x) sin(csc 3x)

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