2. Evaluate the following integrals using partial fractions. 1 (a) / dx (x – 3)(x + 1)² (b) / 6х? + 5х — 2 dx 2.x x³ + x² -

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2. Evaluate the following integrals using partial fractions.
1
dx
(a) T – 3)(x + 1)²
6x2 + 5x – 2
dx
(b) 3+ x² – 2x
Transcribed Image Text:2. Evaluate the following integrals using partial fractions. 1 dx (a) T – 3)(x + 1)² 6x2 + 5x – 2 dx (b) 3+ x² – 2x
Expert Solution
Step 1

We know that;

The Power rule:

ax+bndx=ax+bn+1an+1+C ; n-1

And

1ax+bdx=1alnax+b+C

(a).

Given:

I=1x-3x+12dx

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