Use properties of the definite integral and appropriate formulas from geometry to evaluate the integral. NOTE: Enter the exact answer. 1 – x² ) dx =

Q: Evaluate the integral. 7 sin?(t) cos“(t) dt

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Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate…

A: We have to find substitution of x

Q: Evaluate the following: 1. S sin³ 4xcos³4xdx

A: 1.Solution : ∫sin34xcos34xdx123∫23sin34xcos34xdx123∫sin38xdx    2sinxcosx=sin2x123∫3sin8x-sin24x4dx…

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

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Q: Use the substitution rule for definite integrals to evaluate the following definite integral. J cos…

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Q: Consider the integral x sin(rx?) dx. Use either of the two methods of substitution for definite…

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Q: V1+x² 17.

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

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Q: Compute these integrals using trigonometric substitution. Must work the integrals out by hand and…

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Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

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Q: 2rx · sin(rx²)dx sec²(/x) dx

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Q: Find the integrals using Trigonometric substitutions 1 (a) / Va? – x² dx (g) - 4.x2

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Q: 5 ( (x2 + 1)z dxp x8

A: I = ∫(x2+1)52x8.dxI = ?

Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

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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 using trigonometric substitution. Refer to the table of trigonometric integrals as…

A: Given- ∫dx25x2+2 To Find- The va;lue of above integral using trigonometric substitution.

Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 8 dx +C –…

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Q: (B) Evaluate the integral ( Use Trigonometric Substitutions ) 25 x2 dx

A: We use Trigonometry substitution to solve this integration

Q: 2T CSC X cot x dx

A: We have to solve the integral: ∫π32π3cosecx cotx dx We know the formula, ∫cosecx cotx dx=-cosecx+C…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 19e" dx 1+…

A: Please see the answer below.

Q: Consider the following definite integral. Зх dx This integral could be evaluated geometrically by…

A: Consider the definite integral

Q: Evaluate the integral by completing the square and using trigonometric substitution. 4х — 45 dx…

A: Let I=∫x2-4x-45dx

Q: state the trigon metri e subs tition you would use to Find the indefinite integral Do Not integrate.…

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Q: x2 — бх + 9 dx V6x – x2

A: We have to find value of given Integral

Q: а. 8(у - 3) (е "У"2 sinhy) dy

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Q: The definite integral /. '(tan2(x) + sec2(x) ]dx when evaluated is equal to AV3 + Br, where A and B…

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Q: Use known geometric formulas and the net signed area interpretation of the definite integral to…

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Q: SET UP the definite integral that will give the area of the shaded region (as shown pelow) using a.…

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Q: SET UP the definite integral that will give the area of the shaded region (as shown below) using a.…

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Q: (a) / va - Va? – a² dx

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Q: Evaluate the following integral using trigonometric substitution. dx 2 dx = (Type an exact answer.)

A: Topic-  Integration by substitution

Q: 2. Evaluate the indefinite integral by trigonometric substitution ONLY. fr'VF+25dx

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Q: Evaluate

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Q: Use trigonometric substitution if possible dx 3 х? (9x2 — 4)2

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Q: 18. | V4 - х? dx

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Q: Evaluate the following integral using trigonometric substitution. 49x-81 dx, x> 3 49x-81 dx 3D (Type…

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Q: 4 CSC csc* x -dx 2 cot? x

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Q: 20 e dx x Inx

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Q: Use the Endpaper Integral Table to evaluate the given integral. If you have a CAS, use it to…

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Q: Evaluate the following integrals. Show complete solution and your answer must be in simplified form.…

A: To Find :   ∫11+cosxdx

Q: csc x cot x dx

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Q: Evaluate the integral ∫dx/(sqrt(x^2+4x+13)) By completing the square and using trigonometric…

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Q: Use integration by parts to evaluate the following integrals. Show how you get your answers. (а) /а?…

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Q: After choosing the appropriate trigonometric substitution the integral | x2 - dx, becomes

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Q: Find the integral ∫ x/ √(1 − x2 )dx using u-substitution.Then find the integral using trigonometric…

A: Given: ∫x1-x2dx

Q: |(e" +1) - csc²(e* + æ)dx

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

A: Given that, the integral  I = ∫x dx1+x4  Let t = x2  dt = 2x dx dt2 = x dx I = ∫x dx1+x4 I = ∫11+t 2…

Q: Evaluate the following integral using trigonometric substitution. dx 2 x - 289 " || X> 17 dx 2 x² -…

A: The objective is to evaluate the integral using trigonometric substitution.

Q: Evaluate the following integral using trigonometric substitution. dx 4-x² dx = (Type an exact…

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