The value of ∫ 0 2 x 2 − 2 x + 5 2 x 3 − 6 x 2 + 9 x − 5 d x equals

Mathematics - Indefinite Integration Question with Solution | TestHub

MathematicsIndefinite IntegrationPartial fractionMedium2 minQB

MathematicsMediumsingle choice

The value of $\int_{0}^{2} \frac{2 x ^{3} - 6 x ^{2} + 9 x - 5}{x ^{2} - 2 x + 5} d x$ equals

Answer:

Solution:

Make the substitution x – 1= t. It turns into an odd integral and so reduces to zero.

Stream:JEESubject:MathematicsTopic:Indefinite IntegrationSubtopic:Partial fraction

⏱ 2mℹ️ Source: QB

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