dx Evaluate the integral / by completing the square and using trigonometric substitution x² + 4x + 20 Answer: Note: Use C for an arbitrary constant. Submit answer

Q: dx Evaluate the integral / by completing the square and using x² + 4x + 20 trigonometric…

A: integration with subsitution

Q: Use geometry and properties of integrals to evaluate the followingdefinite integrals.

A: Complete the square: (8x-x2) = -(x2-8x+16-16) => (8x-x2) = -(x-4)2 + 16 Substitute this in…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x²e-9r³ dx +C

A: ∫x3e-x3dx

Q: evaluate the integral by completing the square and using trigonometric substitution.

A: We first complete the square

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

A: Assume denominator to be something and then do the integration by parts to solve the question.

Q: Evaluate each integral using GEOMETRY. Draw a picture, and show your work. a. (2x-4)dx SV4-x'dx b.

A: given,

Q: Vx² – 25 Using a trigonometric substitution, the integral dx becomes: 25x2 -10

A: ∫-10-5x2-2525x2dx

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

A: We know that, sec2x=1+tan2x∫secxdx=ln|secx+tanx|+c. We evaluate the given integral using the above…

Q: cosl Vx dx

A:

Q: Evaluate the integral. de +C VI- 25 NOTE: Enter the fully simplified answer with no fractions under…

A:

Q: he appropriate trigonom dx is V3x-x2

A:

Q: (b) By using trigonometric substitution, evaluate the following integral √ √F² + 4x + 5d.

A:

Q: (c) I 1²-7 dr

A: An integral is given by, ∫xx2-7 dx. The objective is to evaluate the integral using the…

Q: x2 dx Using trigonometric substitution, the integral is equivalent to V-4

A: Given∫24x2dxx2-4Substitute x = 2sinθDifferentiate x w.r.t θdx=2cosθdθNowIf x = 2…

Q: dx Use integral tables to evaluate (Type an exact answer, using radicals as needed.) xV23 + x?…

A:

Q: S dy 2 2 +1

A:

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

A:

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: Find the area inside the limacon = 7+ 6 sin 0. OA) 134T - 84 B) 67T + 84 OC) 67 T OD) 134T

A:

Q: 9, dx 3+x4 1 3C

A:

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

A:

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

A: We use Trigonometry substitution to solve this integration

Q: Evaluate the integral using trigonometric substitution. Draw and label the appropriate triangle and…

A: fdv ffddf

Q: Find the integral ∫ x2 / (x2 + 9)  dx algebraically using x2 = (x2 + 9) − 9. Then find the integral…

A: we have to find the integral ∫x2x2+9dx algebraically using x2=x2+9-9. then we have to find the…

Q: Find the integral using trigonometric substitution.

A: The given integral is,

Q: dx 4. Evaluate the integral by trigonometric substitution: , Væ²-9

A: We can find the integral using trigonometric substitution as below

Q: x? V1-x2 dx Use trigonometric substitution

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 5et + 2e- dx…

A: Use the appropriate substitution and simplify the Integral then integrate.

Q: Find the area of one leaf of the rose r = sin(15€). Enter your answer in terms of A, do not use…

A: The area of the one petal of the rose is given by: A=12∫0π15r2dθ

Q: Evaluate the integral. NOTE: Enter the exact answer. 1 29 VT dx = 17c +C

A:

Q: evaluate the integral by completing the square and using trigonometric substitution.

A:

Q: Evaluate the integral by completing the square and applying appropriate formulas from geometry.…

A:

Q: (a) / va - Va? – a² dx

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9et + 8e-* dx…

A:

Q: sing trigonometric substitution technique, the simplified integral after substitution is: x² - 4 A…

A: To solve the following integral

Q: dx 4ах

A:

Q: 3x За? +8х —12 dx -8x- x3+7x²+12x

A:

Q: 1 | (n²z6 – 28)Zdz

A:

Q: Evaluate the integral. 9. dx (x² – 1)3/2 Need Help? Read It Submit Answer

A: ∫26dx(x2-1)3/2

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

A:

Q: dp p(-75+25p²) 2 S. Trigonometric Substitution

A:

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,

Q: Utilize trigonometric substitution to evaluate the following integral: x*dx S- V8- 2x*

A:

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: dx (d) Evaluate the integral | using trigonometric substitutions. X²V4X +1

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Evaluate the integral by completing the square and applying appropriate formulas from geometry.…

A: Topic = Integration

Q: Using a trigonometric substitution, the integral /- (9+x²)3/2 dx becomes:

A: here option B is true because

Q: 1 -dx Use the technique of completing the square to evaluate the following integral: J x2 - 6.x

A:

Q: Evaluate the integral. 17xe dx +C %3D ENOTE: Enter the exact answer.

A:

Q: sin Vw dw

A: We have to solve the integral: ∫sinw dw Solving by algebraic substitution: Assuming  t=w⇒t2=ww=t2…