Express the integrand as a sum of partial fractions and evaluate the integral. y² + 6y + 9 -dy (? +9)?

Q: Express the integrand as a sum of partial fractions and evaluate the integral. + 5x + 10 xp- x3 - 1

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Q: Find the partial integral. + 3y?) dy t.

A: Given that a  integration and we solve this integration by using general formulas of integration. We…

Q: Use the substitution formula to evaluate the integral. 2t dt -1

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 26s + 26 ds 2 +

A: The solution is given by partial fraction :

Q: Estimate the integral f, dx using a left-hand Riemann sum and 4 2

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Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ y dy/ y2 - 2y - 3

A: First, we factor the denominator Then we use the partial decomposition

Q: The value of the triple integral 0. 0. is

A: Evaluate:

Q: Express the given integrand as a sum of partial fractions, then evaluate the integrals. 1 2y +9 dy…

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Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ y2 + 2y + 1/(y2 +…

A: To express the integrand as a sum of partial fractions and evaluate the integral. ∫y2+2y+1y2+12dy

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ dt/t3 + t2 - 2t

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Q: Evaluate the following integral using partial fraction x* – 2x2 + 4x + 1 х3 — х2 — х + 1 -

A: We will find the integral using partial fraction  as following.

Q: Express the integrand as a sum of partial fractions and evaluate the integral. + 26y + 169 -dy 2 +…

A: topic - indefinite integration

Q: 2 *y dydx 2xye y dxdy +

A: Evaluate the sum of integrals

Q: Evaluate the integral using partial fractions: ∫ x+4 / x2+2x+5 dx

A: Here we use partial fraction and integration of the particular function : ∫dxx2+a2=1atan-1xa+C

Q: Evaluate the integral. 4 | VE(6 + 2t) dt

A: use distributive property on function and integrate it.

Q: Evaluate the integral by Partial Fractions ∫6x^2-3x/(x-2)(x+4) dx

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Q: Evaluate the integral. 5 (2 + 2y)2 dy   4

A: Integrate the following function

Q: Express the given integrand as a sum of partial fractions, then evaluate the integrals. 3y + 4 dy…

A: Given integral is ∫1213y+4y2+ydy

Q: Evaluate the integral. 7y° V8- 7y* dy y18-7y* dy =

A: Given integral is We will evaluate the integral by using following substitution

Q: Express the integrand as a sum of partial fractions and then evaluate the integral. 4x2 xp- x* - 1

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Q: Express the integrand as a sum of partial fractions and then evaluate the integra 4x2 xp. 4 1

A: Given integration is, ∫4x2x4-1dx

Q: B dy (ayt12) Vyt4

A: Given,            ∫52y+12y+4dy

Q: Evaluate the integral. -1 4 6y5 dy + -2

A:

Q: Express the given integrand as a sum of partial fractions, then evaluate the integrals. 1 Зу+4 dy y…

A: Given: A function ∫1/213y+4y2+ydy Simplify using partial fractions:…

Q: O Set up integrel for the Velume aboud x. 3 X= Y-2

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Q: Use the Trapezoidal Rule to evaluate the integral fx-¹dx. 1 2|3 NIC 34 2

A: We have to evaluate the integral ∫12x−1dx by using the trapezoidal rule. Here, a=1 and b=2 And…

Q: Express the integrand as a sum of partial Praetious and evalnare the integral

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Q: Consider S integral can be written as of A, B, and C. 6 O 5 14/3 O 17/6 3x5 3x4+6x3-3x2 - 6x √(x-1…

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Q: 4x4 +1 dx 2г3 + х? —

A: We are given the Integral:∫4x4+12x3+x2-xNow , using long Division…

Q: dt 1³ +1²-2t

A:

Q: In3 xp;

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Q: Express the given integrand as a sum of partial fractions, then evaluate the integrals. 1 2y + 6 -dy…

A:

Q: Evaluate the integral using partial fraction decompoșition (х — 1) J (x2 – 4x – 5) -

A: Given the integrationI=∫(x−1)(x2−4x−5)dx

Q: Express the integrand as a sum of partial fractions and evaluate the integrals. X +4 dx X +7x-8

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Q: y dy (y + 4)(2y – 1)“

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Q: Evaluate the integral by first performing long division on the integrand and then writing the proper…

A: Given problem:- Evaluate the integral by first performing long division on the integrand and then…

Q: Use the method of partial fractions to evaluate each of the following integral. – 2)

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Q: Find the partial integral. Y dy

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Q: Evaluate the integral by first performing long division on the integrand and then writing the proper…

A: Consider the following integral: ∫3x4+15x2+5x3+5xdx=∫3xx3+5xx3+5x+5xx2+5dx=∫3x+5xx2+5dx Consider the…

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 17dx 2

A: We have to express the integrand as a sum of partial fractions and evaluate the integral…

Q: Ja 2s + 2 (s² + 1)(s - 1)³ ds

A: Given :∫2s+2(s2+1)(s-1)3ds

Q: dy J y3-2y2 у3-2у?

A:

Q: Evaluate the integral: -2 y√2y-y²dy

A: A detailed solution is given below

Q: 9 Express the in tegrand ar a sum of parhal fraction and evaluate tte ntegral. %3D XXXH)

A: ∫2dxx(x+1)

Q: Express the integrand as a sum of partial fractions and evaluate the integrals ∫ 1/ x^3/2-√x dx…

A: Given:∫dxx3/2-x1/2

Q: Express the given integrand as a sum of partial fractions, then evaluate the integrals. 1 2y +6 dy…

A: We first calculate the integral without limits. After partial fraction we apply the limits.