perform long division on the integrand, write theproper fraction as a sum of partial fractions, and then evaluate theintegral. ∫2y4/y3 - y2 + y - 1 dy

Q: Use partial fractions to find the indefinite integral.

A: Given: I=∫x2+12x+12x3-4xdx For evaluating given integral, first we simplify given expression then…

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ 2θ3 + 5θ2 + 8θ +…

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Q: Use partial fractions to find the area of the given region. 12 %3D x2 + 5x + 6 y 1 2 3 4 5 2.

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Q: r(3x² x + 8x – 12)d: .3 x' +7x +12x

A: Given:          ∫3x2+8x-12x3+7x2+12xdx Factor the denominator:       =∫3x2+8x-12xx+3x+4dx The form…

Q: y4 + y² − 1 y³ + y - dy

A:

Q: In Exercises 33–38, perform long division on the integrand, write the proper fraction as a sum of…

A: Dear student, Since you have asked multiple questions in a single request, we will be answering only…

Q: 1 dw. w+2/1-w+2

A: Indefinite Integration

Q: Use partial fractions to find the area of the given region. 12 y = x² + 5x + 6 y

A: We have the given curve equation as y=12x2+5x+6 On calculating partial fraction, we get the result…

Q: fheorm 5. Find L" (H) by two Methed < Partial fraction

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Q: 150 dx Express the integrand as a sum of partial fractions and evaluate the integral. 3- 25x

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Q: Evaluate the integral using the method of partial fractions: 2z–15z²+13z+11 22-7z+10 dr

A: Find the integral using partial fraction

Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

A:

Q: After finding the partial fraction decomposition, 6х — 12 dx = (x2 + 2)(x – 3) da Notice you are NOT…

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Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

A: Integrate∫3y4+12y2−1y3+4ydy

Q: x+x+1 Use partial fractions. 2x2+2+x3+x

A: The given integral is;  (x2+x+1)/(2x2+2+x3+x).

Q: Evaluate the integral of the improper fraction using partial fraction method - 2x + 6 + 1 d. 2x-8

A: We have to find given indefinite Integration.

Q: perform long division on the integrand, write theproper fraction as a sum of partial fractions, and…

A: Given: I=∫x4x2-1dx for evaluating given integral, we subtract and add 1 in numerator then simplify…

Q: dx x2+x+1

A:

Q: Express the integrand as a sum of partial fractions and evaluate the integral. x+2 x² + 3x-4 Express…

A: Here we have to find the partial fraction

Q: 3. dx

A:

Q: Express the integrand as a sum of partial fractions and then evaluate the integral. - 5x? xp- x4 - 1…

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Q: 5x dz Write in the form of partial fractions. Hence, evaluate (x-1)3 (x-1)3

A: We need to write 5x(x-1)3 in the form of partial fractions. 5x(x-1)3=Ax-1+B(x-1)2+C(x-1)3—(1)…

Q: A B Using Partial Fraction technique, if dx (x – 15)2 I - 15 (z – 15)2 ) de , then the value of A O…

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Q: Use partial fractions to find the area of the given region. 12 y = x2 + 5x + 6 y 2 1 2 4

A: from given figure it's clear that

Q: Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the…

A: Given, Evaluate ∫5x2+x+36x3+9xdx

Q: Express the integrand as a sum of partial fractions and evaluate the integral. x+3 x + 5x - 6…

A: Indefinite Integration

Q: use partial fraction to evaluate x + 4 dx J x3 + 3x2 - 10x

A: Let I = ∫x+4x3+3x2−10xdx ⇒I = ∫x+4xx2+3x−10dx ⇒I = ∫x+4xx2+5x-2x−10dx ⇒I = ∫x+4xx(x+5)-2(x+5)dx ⇒I =…

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 7x? + 3x+ 8 dp- x'- 1…

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Q: x² -1 dx x3+x

A: To find the integral

Q: :Using Partial Fraction Technique, evaluate the given integral : da (x – 7)2

A:

Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

A: To solve the following integral

Q: Use partial fractions to find the area of the given region.

A: Given: fx=159-x2 according to given figure shaded areaA can be find as below A=∫02fxdx…

Q: Use Method of partial fractions to evaluate the integral : 2z+7 dx J7-9z+14

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Q: perform long division on the integrand, write theproper fraction as a sum of partial fractions, and…

A: Given:                     ∫y4+y2-1y3+ydy   Performing long division:…

Q: Express the integrand as a sum of partial fractions and then evaluate the integral. 5x? dp- Express…

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Q: 8 tdt Express the integrand as a sum of partial fraction and evaluate the integral / t2 – 2t – 3 O…

A: We will solve this intigral by partial fraction,

Q: 6. (a) + 1'

A: We have to find out

Q: 5: Using Partial Fraction Technique, evaluate the given dx (x- 6)2 integral :

A:

Q: Use partial fractions to find the area of the given region. 12 y = x2 + 5x + 6 2 5 4, 2-

A: The given function is y=12x2+5x+6 we have to calculate :-  Area =∫04y dx=∫0412x2+5x+6dx

Q: ex dx Jo 9-e2x 9 -

A: The solution is given below

Q: 2x²+3 (교2+1)2

A:

Q: Evaluate fE in two ways: using partial fractions and using a trigonometric substitution." Reconcile…

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Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

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Q: Integrate the following using partial fraction decomposition: integral sign  [(3x2+4x+56)  /…

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Q: a) Use partial fraction to find 5 UTM 8 UTM + 10s UTM UTM L(a+ 1)(s + 8s + 5) J TM

A: Since all the questions are different,so as per our guidelines we are supposed to solve only first…

Q: Set up the following integral using partial fractions after showing the long division, then…

A: topic -integration

Q: -r+7 dr (r2 +9)2 h.

A: Given function is: y=∫x2-x+7x2+92dx By using partial fraction solving for above function:…

Q: Use partial fractions to find the area of the given region. 12 y = - .2 x + 5x + 6 y 2 2 3 4 5

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Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

A: We will evaluate the integral.