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Integration by Partial Fraction

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Integrate (-6t+14)/(2t^2+9t-5) dt from 0 to 1
What is the approximate value?

I could compute (-33t +27)/(2t+5t-3) dt from 0 to 1 by factoring the denominator and express the fraction in terms of its partial fractions, multiply to clear the fraction, solved the pair of equations for A and B, evaluated the indefinite integral to equal 3/2 log (2t-1) - 18 log (t+3) +C with an approximate value of -5.178. But I need help to solve (-6t +14)/(2t^2+9t-5) dt from 0 to 1.

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The expert examines integration by partial fractions.

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