Find or evaluate the integral by completing the square. (Use C for the constant of integratiOn.) x4 + 4x2 + 5 xp

Q: Evaluate the integral | a (2° – 5)26 dx, by making the substitution u = x6 - 5. +C Note: Your answer…

A:

Q: (7*-4*)dx

A: Given: I=∫13(7x−4x)dx

Q: Q4/Find the value of each integral in the following statement (1) fxe"dx (2) f xsinxdx

A:

Q: 5 — 2х da J V12x – 4x2 12х —

A:

Q: 4. dr

A:

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

A:

Q: Evaluate the integral : dæ +C (x-7)(x+7)

A: We have to solve the integration

Q: Evaluate the definite integrals -3 a) dx b) 1. 2 c) dx d) x² dx da

A:

Q: Evaluate the following integrals. 1 dx x²Vx2 – 9 3

A:

Q: Evaluate the integral |(2x + 6) (2² + 6x + 6)°dx by making the substitution u = x² + 6x + 6. + C…

A: Indefinite Integration

Q: Use integration by substitution to solve the integral below. Use C for the constant of integration.…

A: Given query is to find the solution of the integral.

Q: x/1 - x² dA; R = {(x, y) : 0 < x < 1, 2 < y < 3}

A: The double integral ∬Rfx, ydA is can be written as ∬Rfx, ydxdy. We have given the region R=x, y :…

Q: Evaluate the indefinite integral.

A: Integrand = 6x3(8 – x4)2 = 6x3(64 – 16x4 + x8) = 384x3 – 96x7 + 6x11Hence, the given integration is…

Q: 12) Find each integral by substitution a) [xe dx -dx- b) 7+9

A:

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

A:

Q: [t²cos n=tdt 2 Solve the integration by table or zeroing method, then arrange the integral and the…

A: Sol

Q: Evaluate: 2nsin(пx?) -dxdy. x2

A: Given,∫01∫y31 2π sin(πx2)x2 dx dy

Q: Given ∫(−6x6−4x5+5x−3)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: Given ∫(−6x6−4x5+5x−3)dx

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

A:

Q: PART I. Evaluate the following integrals. Show all the necessary solutions. 2x³ 1. f ²x² +5x²-4dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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: 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: se euclirs lemma to show that the square of any positive integral is either ofform 3m+1 for some…

A:

Q: Solve the integral: A B C D 6√√x +C 3√x² + C 6 33³√/ x² +C √√√x 37 ကြ 3√x dx

A:

Q: Find the value of the integral T x² da (x²+9) (x²+4)²

A: To find- Find the value of the integral ∫-∞∞x2x2 + 9x2 + 42 dx

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

A:

Q: Evaluate the integral: fe* sinhxdx. Select one: O a. -+C 0b. ²+0 ++ C d+C

A: We can solve this as follows:

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: Write out and find the following integral. Sxe2" dx

A: NOTE: Refresh your page if you can't see any equations. . use integration by parts the rule is…

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: x2 dx V(12 – 8)5

A:

Q: Find the integral 52? + 3х — 2 dx +C x3 + 2x?

A:

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: Evaluate the integral 17 a* (x* – 3)"dæ by making the substitution u = x* – 3. +C NOTE: Your answer…

A:

Q: Evaluate the integralS, V1 – x² dx. Note: Retain T and any fractions in your answer if applicable.

A:

Q: 82y-3v° (y² – y) dy

A:

Q: Choose correct answer for indefinite integral dæ 3 a) x æ +- * + C 373 b) 6x-8 – 20a-5+C c) 2x4 –…

A:

Q: Evaluate the integral 50 3)dx - by making the substitution u = x 6 – 3. + C NOTE: Your answer should…

A: We will integrate the following.

Q: Make the u-substitution u = 3x2, and then use the Endpaper Integral Table to evaluate the given…

A: We can solve this by using given information

Q: Use the technique of completing the square to evaluate the following integrals. x- 6x Show your…

A:

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: 2x2 + 2x + 11 dx (2x + 3)(x² + 4) (c)

A: Evaluating the integral using partial fractions.

Q: Evaluate the integral + 3)(x² + 3x + 5)* dx by making the substitution u = x² + 3x + 5. + C NOTE:…

A: We can evaluate the given integral by using the substitution u=x2+3x+5 and applying the following…

Q: 3. Find each integral. Some of them (but not all) require substitution a) **+9 dx b) S dx 6x d) Sdx…

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. x dx (7x? + 3)°

A: Our Aim is to evaluate the integral given below:-∫x7x2+35dx-(i)

Q: r2 c-x+3 3 J(x-1)² 4x° dydx

A:

Q: √ √ 1 √x² - 2x + 5 dx

A: Indefinite Integration

Q: x" In x dx

A: Given: I=∫xnln(x)dx