Evaluate the integral using trigonometric substitution. (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.) dz J z3 Vz2 – 100

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: Consider the integration ∫x3x2+9dx Substitute x=3tanθ ⇒dx=3sec2θdθ Hence,…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [ cos¹…

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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 using the indicated trigonometric substitution Select the correct answer. 9 1…

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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: 1e uex dx (3+x²)5/2 x3 Ue be

A: ∫03x33+x252 dx Consider, ∫x33+x252 dx Put, x=3 tanθ⇒1=3 sec2θ·dθdx⇒dx=3 sec2θ dθ Therefore,…

Q: Evaluate the integral f Spxy dA, where R is the triangle x + y 0, y > 0. NOTE: Enter the exact…

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Q: (c) I 1²-7 dr

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

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Q: Evaluate the integral T 22 P" sin cos e de dode Hd 0 H₂

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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: Evaluate the integral S x? dx using trigonometric substitution. V16-x2 Note: Use C for an arbitrary…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V12y +1 +C

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. cos“ (5t)…

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Q: Find or evaluate the integral using an appropriate trigonometric substitution. +3 x2 dx 4 + C

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Q: 10 Sin h (Ux)

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy /2y + 1 +C

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Q: Evaluate the integral by completing the square and using trigonometric substitution. dx s √5 + x −…

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Q: dx Evaluate the integral/ by completing the square and using trigonometric substitution. V36x+6x2…

A: Given,  ∫dx36x+6x2  We have to evaluate the integral

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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. (Use C for the constant of…

A: Topic -Integration

Q: dx 16. 2 2 x*Vx –16

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Q: dx 2. S XVx4+1

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Q: J zV -1 2.

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

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

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Q: 1. S dx x² Vx2+4

A: In this question we will use basic of calculus i.e concept of integration. We will simply integrate…

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: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Vx – 9 33. dx, x > 3 х

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Q: Evaluate

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

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Q: Evaluate the integral ſ Srxy dA, where R is the triangle x + y 0, y > 0. NOTE: Enter the exact…

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Q: Find the integral using trigonometric substitution.

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Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. T/6 2…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Solve The following integraltions using Trigonmetric integrals Stan'x sec3x dX X sec'X

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Q: V ? x -dx 1-31nsec cot x

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Q: Evaluate the given integral using Trigonometric Substitution 81e dæ 3(9e2r –6e² +10)

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Q: The definite integral shown below is evaluated using trapezoidal rule with n=4. the result is | (6+3…

A: The trapezoidal rule uses trapezoids to approximate the area. The following formula is used to…

Q: Evaluate the integral / V144+ 36x² dx using trigonometric substitution. Note: Use C for an arbitrary…

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

A: Given Data The integral is ꭍx²dx/(1- x²)3/2.   Let,

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Q: Evaluate the following integral using trigonometric substitution. dx b. S V(5+2x+ x²)5

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Q: x³ dx 3. S V(x2-9)3 (x²–9)3

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Q: Evaluate the integrals by making a substitution(possibly trigonometric) and then applying a…

A: Given: The integral is ∫(r2-1)3/2rdr   Reduction formula: ∫tann(x)dx=tann-1(x)n-1-∫tann-2(x)dx