Use substitution to find each indefinite integral. a. 4(2r +3) dr

Q: find formulas for the functions represented by the integrals.

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

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Q: Find the value of n in the following definite integral. So 4x° dx 1 Answer:

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Q: 12) Find each integral by substitution xe

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Q: Evaluate each indefinite integral by finding the antiderivative.

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Q: 4. dr

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Q: 2) Find each integral by substitution a) [5x*(x' +7)'dx b) [x'e' dx

A: a) ∫5x4x5+73dx......(1) Put x5+7=t Differentiate the above function ddxx5+7=dxt5x4dx=dt Substitute…

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. 35 dx 3e 1. J- Ve3x…

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

Q: V52 -9 dx 3x

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Q: 2. S(4a³ – 6a² + 15a)(-a² + a – ) da

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Q: Evaluate the integral: ſo (x³ – 5æ + 7)dx. Select one: O None. 19

A: Given :∫01(x3-5x+7)dx

Q: Suggest a trigonometric substitution for each integral, and then write the new integral that results…

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS: Identif y the u and find du. 4 sec2x dx 2.…

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Q: 4. (ази t эзо

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Q: S sec2 70 d0

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

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Q: Use substitution to find the indefinite integral. p(p+3)°dp

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Q: (a) J ₩을dr

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Q: For each definite integral, find the simplified answer. s dx x2 a) b) c) re In(x) dx d) x²-4x+6 x-1

A: hey since you have posted multiple question I solve 1st 3 subpart.

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) xp…

A: The given integral is x/(x4+10x2+26).

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

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Q: Use the properties of the definite integral to find -g(x)dx, if possible, given that g(x)dx = - 7.…

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Q: a) [3 VIn xdx

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Q: -2 2 [ 7e +- y -5

A: solution:-∫-5-27ey+2ydy=∫-5-27eydy+∫-5-22ydy=7∫-5-2eydy+2∫-5-21ydy

Q: Which of the following integrals is equal to the integral f(3x-5) dr? (A B) 3 7/3 © I s(:) dz 7/3

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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 each definite integral. Show all work. (a) S(8* – 9z2 + 4)dx (b) S VE+ dr

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Q: Find the value of n in the following definite integral. 4x° dx = 1 Answer:

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Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

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Q: Find each of the following Indefinite Integrals. (a) 3 - 1 dr rll

A: In the question it is asked to calculate integration of ∫x3-1x11dx.

Q: : A) Solve the following integral: S x5J4(x) dx.

A: It is known that ∫xvJv-1x dx=xvJvx.

Q: Let a, b, and C be a constant, verify the following indefinite integral. IVa+bx dx 2 (3bx – 2a)(a +…

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Q: n4 dx b. 2 х-3

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Q: 3. Evaluate each definite integral by using geometric formulas. (a) 14.x – 12| dr dr (b)

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Q: Find each of the following indefinite integrals.  c. Z (r+2)^2/r^3 dr

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Q: tan ( tan3x) dx Evaluate: cos?3x

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Q: - csc? Bdß J cot B+4cot B

A: The value of the given indefinite integral is (1/4)ln(|cot x|) - (1/8)ln(|cot²x + 4|) + C

Q: nsider the Integral I when answering the following questions. g(x) dx

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Q: Solve the integral 3 | x*(a? – x²)ždx 9.

A: Given:         ∫0ax5(a2−x2)32dx

Q: B) S 12 sec 3x tan 3x dx

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Q: 10. 0 – 3x6 2.

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Q: Evaluate the definite integral. S (x - 6)2 dx Select one: O A. 152 3 B. _ 64 C. 152 D. 20

A: I hope that this solution will help you .Thankyou. Best regards.

Q: If a and b are positive constants, evaluate the following integrals: e -ax -bx (a) -dx;

A: Given : The integral  ∫0∞ e-ax - e-bx x  dx  where a and b are positive constants.   To determine :…

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

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Q: (b) Solve the following indefinite integrals.

A: i. Given integral ∫sinxcos2xdx

Q: d) |r – 2| dx

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

Q: Use substitution to find the indefinite integral. p(p +4)* dp P(p +4) dp=[

A: p+4=z is the substitution.

Q: Use substitution to find the indefinite integral. P(p + 9)°dp

A: We have to find given integral.

Q: e tan (e) d.r (b) sec2 (e) - 7

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