Given the following integral SVsx2 - 20 dx Determine the Trigonometric Substitution formulas that need to be used for this integral. A 2 2sec(e) dx 2sec(e)tan(e) de x2.?? 4tan2(e) A. 4 4sec(0) dx 4sec(e)tan(e) de x2. ?? 4tan2(e) A 20 20sec(e) dx 20sec(e)tan(e) de x2- ?? 400tan2(e) V20 V20 sec(e) dx V20 sec(e)tan(e) de x2.?? 20tan (e)

Q: sin(x) cos (x) dx

A: Solution by substitution

Q: I. Given the integral of 24x-12 2x with respect to x. 1. Which formula is readily applicable to the…

A:

Q: dx The integral can be transformed to which of the following when trigonometric substitution is…

A:

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

A:

Q: Evaluate the integral sin? t cos t dt by making the substitution u = sin t. After substituting we…

A:

Q: In the following integral x – 2 dx x² +25 what trigonometric function will be the best to substitute…

A:

Q: the integral dx Va? – x? e may use x- educe the integral to a sine and dx= a cose de substitutions…

A:

Q: After choosing the appropriate trigonometric substitution the integral 4 x² dx, becomes 4 cos (0)de…

A:

Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)² esc…

A: Given Integral is ∫dx(x2+4)2Let's substitute x=2tanθDifferentiate with respect to x⇒dx=2sec2θ…

Q: Evaluate the following definite integral. Si(-²+2/ +Ħ) dx

A: We have to find integral in this question.

Q: The integral S³ S S Sse x dx x²+√√x²-1-1 sece tane de sece - 1 cose d 1 - sino sine de 1 + cose…

A:

Q: For each of the following integrals find an appropriate trigonometric substitution of the form æ =…

A: The substitution method is used to simplify the integral for the complicated integrations. The…

Q: Which of the following integrals is leading to inverse trigonometric function? { A} S {B} S; {C} f;…

A: We have to find which of the following integrals leading to inverse trigonometric

Q: Evaluate the following integral using trigonometric substitution. 3x dx (64 + x*)? What substitution…

A: Given : Intergral of 3x2 / ( 64 + x2 )2

Q: The integral A / B © S D x² + x dx can be transformed to which of the following using trigonometric…

A: Explained below

Q: Given the following integral 7x dx x2 + 81 Determine the Trigonometric Substitution formulas that…

A: Given∫7xx2+81dx

Q: In the given equation , find the indefinite integral :-   See the equation as attached here .

A: The given indefinite integral is : ∫ cos5θ cos(3θ) dθ Now cos(A) cos (B)=cos(A-B)+cos(A+B)2 So,…

Q: Evaluate the following integral using trigonometric substitution. 11 V3 dx VX + 121 What…

A: Substitute x = 11 tan θ Note: 1+ tan2 θ = sec2 θ

Q: Evaluate the following definite integral. 1/6 -2 cos x dx 1/6 -2 cos x dx = -1 (Type an exact…

A: The given definite integral is: I=∫0π6 -2 cos x dx

Q: Evaluate the following integral. .. sin 2x dx sin 2x dx =O (Type an exact answer, using radicals as…

A:

Q: Evaluate the following integral. 3n/2 3 sip x TIT siny dz dx dy 0 0 0 3x/2 3 sip x SI! sin y dz dx…

A:

Q: * Which of the following integrals will yield an inverse trigonometric function? ydy A 25+y2 B) none…

A: In option (A), If we substitute 25+y2=t2⇒ydy=tdt, then the numerator will be replaced by tdt and…

Q: Use a substitution to reduce the following integrals to  ∫ln u du. Then evaluate the resulting…

A: ∫cos(x) ln(sin(x)) dx Use a substitution to reduce the following integrals. Here substitute sin(x)…

Q: Given: S√-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? 9…

A:

Q: Consider the integral / sin*+1x - cos x dx , where k is a positive integer. Using the methods…

A: By using u substitution method

Q: The integral of (10*/ cos 10*)dx may be written as A ln | sec B* + tan B* |+ C. Where A, B, and C…

A:

Q: Evaluate the definite integral by expressing it in terms of u and evaluating the resulting integral…

A:

Q: Evaluate the following integral. | 7x sin3 (x?) dx | 7x sin3 (x2) dx = (Type an integer or a…

A: The integration of the 7x sin3(x2) and the limit from 0 to √ (π/2).

Q: 6 ∞ 9 cos (7) x² dx I

A:

Q: |x³Vx² – 625 dx , if we let x= 25sece , then dx = 25sec@de. (A) True (B) False x² + 64 Using…

A: In first problem , we can substitute given value and check whether this is true or not. In second…

Q: Given the following integral Determine the Trigonometric Substitution formulas that need to be used…

A:

Q: As per the trigonometric substitution x = 4 sin 0, the following triangle is obtained. sin 0 = X x²…

A: In this question we are going to fill these blank up.

Q: To evaluate the integral x2 dx, Vx2 - 4x + 20 using trigonometric substitution, wh substitution…

A:

Q: Evaluate the following integral

A: Consider the given integral

Q: The integral of (10*/cos 10*)dx may be written as A In sec B* + tan B* | + C. Where A,„B, and C are…

A:

Q: In the next integral S substitution is considered 2x = 5sin 0, after performing the trigonometric…

A:

Q: The integral O x dx can be transformed to which of the following using trigonometric substitution?…

A:

Q: Use the indicated substitution to evaluate the integral. 13/2 x² dx, x = 13 sin(0) %3D V169 – x2…

A:

Q: Using substitution with u = sin(2z), the definite integral si "sin®(2x) cos(2r) dr is equivalent:…

A:

Q: s After an appropriate trigonometric substitution, the integral transformed into which one of the…

A: Concept: The trigonometric change: The trigonometric identities can be used to assess several…

Q: Evaluate the following integral using trigonometric substitution. /484-х2 dx 484 - x dx = (Type an…

A:

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

A:

Q: 21. 8sec2 (t) + 2 sec(t) tan(t) dt

A: Topic-  definite integration

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

A: Answer is option B.

Q: Use the indicated substitution to evaluate the integral. • 7/2 dx, x = 7 sin(0) V49 x2 (Give an…

A:

Q: (10,00 Puanlar) /6 7 - What is the value of the integral sin(6x) arctan(sin 3x)dx? c) “ d) 6(1 - 2)…

A: This question is related to integration.

Q: Evaluate the integral (exact value). e6sin (87) + C e6x sin(8x) dx 7

A: We can find the integral as below using integration by parts as below.

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

A:

Q: Evaluate the definite integral of the following: a. ∫0π/2 cos(2x/3) dx Read as: The integral of…

A:

Q: * Which of the following integrals will yield an inverse trigonometric function? dx A 9– 16x2 wdw…

A: To determine the integral among the four given integrals which gives an inverse trigonometric…