Find or evaluate the integral by completing the square. (Round your answer to three decimal places.) 2 dx x2 2x + 2

Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. 8x?e"" dx +C

A: Given the integral

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: Find or evaluate the integral by completing the square. (Round your answer to three decimal places.)…

A: Given problem:-

Q: (7*-4*)dx

A: Given: I=∫13(7x−4x)dx

Q: Evaluate the Integrals: Sz cos5xdx b) 2x sinx dx 2 a)

A: (a) To integrate: ∫0π2cos5xdx

Q: Find or evaluate the integral by completing the square. (Round your answer to three decimal places.)…

A:

Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. e8a dx +C

A: We have to evaluate the integral ∫e8x dx.

Q: Using the method of substitution, b. x² V8x + 5 dx = f(u) du a vhere du dx = а — b = and f(u) = The…

A:

Q: Evaluate the integral a* (a* – 4)"da - by making the substitution u = x* – 4. + C NOTE: Your answer…

A:

Q: Question: 2 dx a) Evaluate the integral by completing the square and using a substitution , -6x+10…

A: Given: (a)∫242dxx2-6x+10(b)∫1ex4lnx dx

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

A: ∫-10-5x2-2525x2dx

Q: a. ²₁ (5x¹-2x³) dx

A:

Q: V5 - 4x — х2 dx

A: Used substitution to solve the integral.

Q: cosl Vx dx

A:

Q: Evaluate the integral. -2x 50хе dx +C NOTE: Enter the exact answer.

A:

Q: .2 x² + 6x dx (х2 + 3)?

A: Recall: ∫1x2+a2dx =1atan-1xa+C ∫ax+bndx =1a.ax+bn+1n+1+C

Q: Evaluate the integral. NOTE: Enter the exact answer. 1 + 26/x| dx 6x3 +C

A:

Q: Hi, I was wondering how to do this and what the work would look like. thank you!

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Q: Hi, I was wondering how to do this and what the work would look like. thank you!

A:

Q: Write answer only Evaluate the integral by long Division method, use four digits after comma: x3 –…

A:

Q: Evaluate the integral. .8 2 dx 2 dx =D (Simplify your answer.)

A:

Q: Evaluate the integral I = x³ e dx. Hint: If you need to evaluate f ea dx, don't! Try a slightly…

A: To find:-

Q: Evaluate the integral. HINT [See Example 2.] (x – 6) dx

A:

Q: Evaluate the integral. 5 x es* dx = C NOTE: Enter the exact answer.

A:

Q: dx 1₁ (x² + 8x + 13)² press numbers in exact form. Use symbolic notation and fracti - C as much as…

A: Given ∫dxx2+8x+132

Q: In Exercises , use a substitution to change the integral into one you can find in the table. Then…

A: 27. Given integral is, ∫x3+x+1x2+12dx.   It is integrated as follows:

Q: Hence or otherwise, evaluate the following integral (Hint: Use completing square) -2r2+3r dx

A: We use the result ∫-∞∞ e-t2dt=π to evaluate the integral ∫-∞∞ e-2x2+3xdx .Convert the integral ∫-∞∞…

Q: Completing the square Evaluate the following integrals.

A: The given integral is ∫dxx2+6x+18. Evaluate the above integral as follows.

Q: Find the value of the integral of , 2x? dx. a. 2 b.24 c. 6 d. 8

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

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Q: u = g(x) du = g'(x) dx x8 + 5 dx u = du dx

A:

Q: rite the integral in terms of u and du. Then evaluate. 10х — 14 dx, и %3 10х — 14

A:

Q: Calculate the integral and express your answer in simplest form. / 9z(x? – 10)® - dæ 5

A: Given∫9xx2-1085dx

Q: Evaluate the following integrals. dr x²Vx² – 9 13

A: We put x= 3sec(u) and differentiate both sides with respect to u and find the value of the given…

Q: Find or evaluate the integral by completing the square. (Round your answer to three decimal places.)…

A: We have to evaluate the integral by completing square.…

Q: Evaluate the integral. 19 dx x²/x² NOTE: Enter the exact, fully simplified answer.

A: Let I = ∫2219 dxx2x2-1

Q: Evaluate the integral. You may need to use substitution, complete the square, or some other method…

A: First make a complete square by adding and substracting 9 in  x 2+6x so that we get x 2+6x+9- 9…

Q: a) I = Sx² e-* dx 2 b) I = S Artan(3x) dx

A: As per our guidelines, we are supposed to solve only the first two problems/subdivisions. Please…

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

A: ∫26dx(x2-1)3/2

Q: J. 3x²dx Evaluate the indefinite integral. J; , and 9x6–12x3+4 • Identify what is the u=? and du=?…

A: We have to find the indefinite integral.

Q: Evaluate the integrals. Simplify your answers 3. S(12x5 + 14Vx² + 5csc²x)dx

A: ∫(12 x5 +14x25 +5csc2x)dx= 12 x66 + 14∫x25dx + -5 cotx= 2 x6 + 14 5x757 -5 cotx= 2x6 + 10x75 - 5cotx

Q: Question dx Using an appropriate substitution, the integral is equal to: 6x+40 (Complete the square,…

A: Integrate

Q: x2 dx Vx? – 4x + 5

A:

Q: Solve the integral shown below. Show your solutions. 3xe ²x dx

A:

Q: 4. S 3xsen5xdx 5. S te2t dt

A:

Q: Calculate the integral and express your answer in simplest form. | 9x?(1 – 3æ')* dæ

A: On solving this integral we will get

Q: Evaluate the integral of (t-i)^3 from 0 to 1 where i=sqrt(-1) choices:  a. -5/4 b. 7/4 c. 4/3…

A:

Q: √ √ 1 √x² - 2x + 5 dx

A: Indefinite Integration

Q: J xe3* dx х S xsenxdx Sx² cos2xdx

A: Given that integration and we solve it by using general rule of integration. Here i attached…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.