Integral 5x 3 7x 2 2x 5 dx - JAMB Mathematics 2015 Question
Integral ∫\( (5x^3 + 7x^2 − 2x + 5)\)dx
A
\( \frac{5x^4}{4} + \frac{7x^3}{3} + 2x + C \)
B
\( \frac{5x}{4} + \frac{7x^3}{3} - x^2 + 5x + C \)
C
\( \frac{5x^3}{3} + \frac{7x^2}{x} - x + C \)
D
\( \frac{2x^2}{3} + \frac{x}{5} - C \)
correct option: b
\(∫ [(x^2 + 4x^2 + 1 ) ÷ x^2]dx = ∫ (x^3/x^2)dx + ∫(1/x^2)dx \)
⇒\( ∫ xdx + ∫ 4^{−1} or + ∫ (1/x^2)dx\)
= \( x^2/2 − 4x − 1/x^2 + C \)
⇒\( ∫ xdx + ∫ 4^{−1} or + ∫ (1/x^2)dx\)
= \( x^2/2 − 4x − 1/x^2 + C \)
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