Solve the integrals using partial fractions. Зx2 + 5х + 1 dx x3 + 3x2 + 2x dx х2 — 25

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A:

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Q: Find the value of the integral 2x-5x dx 3. -3 The solution is as follows: What processes/procedures…

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Q: х—1 dx х4—1

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Q: A +B + C +スt X (x+D (x+1)" (x+2)

A: Using partial decomposition method

Q: The technique used to prove that x4 x3 - 5x + 5V5 tan¬1 3 x² + 5 dx + C - - is Long (Euclidean)…

A:

Q: With partial fraction decomposition the following rational expression can be as 110 A B (æ + 3)(x2 +…

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Q: 7x + 29 dx (x + 3)(x + 5)

A:

Q: (4x-2)dx x³-X² - 2x

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Q: 3. Integrate f 10(x+6) x² + 3x-10 2 dx by using partial fraction.

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Q: Evaluate (1) 7 dx (1) J, 2 - 4x + 13

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Q: Use partial fractions to find the indefinite integral ∫ (5x − 2) / (x2 − x) dx

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Q: The rational number (22/7) has been used as an approximation to the number ? since the time of…

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Q: Use partial fractions to find the indefinite integral ∫ (9 − x2) / (7x3 + x) dx

A: the given integral is: ∫9-x27x3+xdx we have to use the partial fractions to find the given integral.…

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A: We have, ∫x+1x2-12x+32dx   Basically we are interested in partial fraction of this. Here we can…

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Q: Use partial fractions to find the integral dx x2 – 4

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Q: III. Use integration by partial fraction. 6).S dz 6).f; 2+2

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Q: 2. x²+x+2₂ x²-1 -dx

A: Follow the procedure given below.

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Q: 10dz S 4z³ - 4z²+ 5z

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Q: 6. ၂ 3z+1 -4) -dz

A: ∫3z+1(z2-4)2dzExpand:=∫3z(z2-4)2+1(z2-4)2dz=3∫z(z2-4)2dz+∫1(z2-4)2dzNow solving…

Q: Use partial fractions to find the indefinite integral ∫ (x + 2) / (x2 + 5x) dx

A: Given that: The indefinite integral is ∫ ( x + 2)( x2 + 5x ) dx .

Q: Hence find the particular integral and the general solution in the form 2. Express f(x) in partial…

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