Express the integrand as a sum of partial fractions and evaluate the integral. 16x S dx (x- 21)(x+ 7)? Express the integrand as a sum of partial fractions. 16x2 dx = dx (x- 21)(x+ 7)²

Q: Evaluate the integral using the method of partial fractions. x-9 -dx (x+5)(x-2)

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Q: Use partial fractions to find the indefinite integral.

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Q: Use partial fractions to find the indefinite integral.

A: Given: I=∫9-x27x3+xdx For evaluating given integral, first we simplify given expression then…

Q: Use partial fractions to find the indefinite integral ∫ (4x2 + 2x − 1) / (x3 + x2) dx

A: We need to find the integral Using Partial Fraction.

Q: Use partial fractions to find the indefinite integral.

A: First, we have to Take partial fractions of the given expression.

Q: I+116 Jz- 10)(z+9) dz, by expressing the integrand as the sum of the partial fractions. Evaluate

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Q: 2r3 2x3 — 4х? — 15х + 5 9. dx х2 — 2х — 8

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Q: (i) Evaluate, [2sin3xcos2: xdx. 1+3x (i) Еxpress /(х) into partial fractions. 2x² –x – 3 Hence,…

A: 7i∫0π22sin3xcos2xdx

Q: 9. Evaluate the integral by using partial fractions decomposition. 7 dx x3 – 8x + 23x

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Q: Use the method of partial fraction decomposition to perform the required integration X3 dx (x-7)2…

A: to given

Q: y4 + y² − 1 y³ + y - dy

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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: х4+8х2 +8 dx e. х3-4х

A: Explanation is given below....and solve the integration

Q: III- USE PARTIALFRACTION TO EVALUATE THE INTEGRAL 8 X 1-A 4X.(X +1)(X – 3)²)x .dx | 2- X3 + x dx

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Q: x + 117 dx, by J Ta – 6)(x + 9) Evaluate - expressing the integrand as the sum of the partial…

A: Evaluate the given expression.  We are solving this problem using the partial fractions.

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: x2-17x+40 Find the indefinite integral dx using partial fractions- (x+3)(x-2)²

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Q: Use partial fractions to find the indefinite integral. 9 – x2 dx 5x3 5x + X

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Q: 3. Use partial fractions to integrate: 1 x’ – x? 3 2 dx (Hint: Factor the denominator first.)

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Q: xpress the integrand as a sum of partial fractions and evaluate the integrals ∫x^2…

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Q: Q#03: Integrate with the help of Partial Fraction: i)∫2x^3+x^2-x-3/x(x-1)(2x+3) dx ii)…

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Q: 4. Use partial fraction, step by step, to evaluate integral f 4x5-2 dxp. х4—1

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Q: Use partial fractions to find the indefinite integral…

A: Evaluate: ∫x2-6x+2x3+2x2+xdx

Q: Use partial fraction decomposition technique to evaluate the integral: S; dx. x² (x+1)³

A: ∫x21+x3dx

Q: dx 42. 3-2x2 – 4x + 8

A: Explanation of the answer is as follows

Q: Use the method of partial fraction decomposition to perform the required integration. X1 (x-7)2 x 1…

A: Write x+1 as x-7+8 to simplify the integrand

Q: Use partial fractions to find the indefinite integral ∫ x2 / (x2 − 2x + 1) dx

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Q: x² +1 dx -2 (x+2)* Integrate using partial fraction:

A: First, use the partial fraction decomposition to rewrite the expression, x2+1x+23. The expression,…

Q: Use partial fraction decomposition to integrate the given function  ∫x+6/x(x+2) dx

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Q: (c) Considering, 4x x² + 9x + 8 (i) Separate it into partial fractions. (ii) Hence, find 4х -dx J x²…

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

A: we have to use the partial fraction to find the indefinite integral ∫5x-2x2-x dx. let the given…

Q: While evaluating the integral - dx, using the technique of Partial Fractions, the value of 12x + 32…

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

Q: Apply u- substitution and the partial fraction decomposition to evaluate the integral In(x² + x + 1)…

A: Given

Q: (b) Express the integrands as a sum of partial fractions and evaluate the integral de -x*-6x (a)…

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Q: 2x4 +3x2 - 1 Rewrite -dx as integral of sum of partial fractions. (x3 – 4x2 + 5x)?

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Q: 3x+1 Evaluate the integral -dx by the method of Partial Fractions. x² +3x+2

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Q: 1 1. S dx х2-5х+6

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Q: Rewrite the integrand as the sum of partial fractions. x+3 2x -8x Evaluate the integrals. x+3 !! .3…

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Q: Use partial fractions to find the indefinite integral. dx 16xª –

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

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Q: x Express the integrand as a sum of partial fractions and evaluate the integral - dx . x²-4

A: The given integral is ∫x3x2-4dx. The integrand in the above integral is x3x2-4. The degree of the…

Q: Express the integrand as a sum of partial fractions and evaluate the integrals. x+3 dx 2x - 8x 3…

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Q: (5x +4) 4. Evaluate the integral by using partial fraction method f (x+3)³

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Q: 1 dx x²(x²+5)²

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

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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: fine the integral of 4x + (4x/x^4-1) using partial fraction decomposition.

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Q: Use the method of partial fraction decomposition to perform the required integration. 56x + 144 dx 3…

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Q: x + 118 Evaluate dx, by expressing (x – 9)(x + 8) - the integrand as the sum of the partial…

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