Integral \( (5x^3 + 7x^2 - 2x + 5) \) dx

Assessment: JAMB UTME - Mathematics - 2015 Subject: General Mathematics

Question 1 Report

\frac{5 x^{4}}{4} + \frac{7 x^{3}}{3} + 2 x + C

\frac{5 x}{4} + \frac{7 x^{3}}{3} - x^{2} + 5 x + C

\frac{5 x^{3}}{3} + \frac{7 x^{2}}{x} - x + C

\frac{2 x^{2}}{3} + \frac{x}{5} - C

Answer Details

\int [(x^{2} + 4 x^{2} + 1) \div x^{2}] d x = \int (x^{3} / x^{2}) d x + \int (1 / x^{2}) d x

⇒

\int x d x + \int 4^{- 1} o r + \int (1 / x^{2}) d x

=

x^{2} / 2 - 4 x - 1 / x^{2} + C

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