A Level

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

∫x2+1x4 dx=\int \frac{\sqrt{x^2 + 1}}{x^4}\,dx = (a) −13(x2+1)3/2x3+C-\frac{1}{3}\frac{(x^2 + 1)^{3/2}}{x^3} + C (b) x3(x2+1)−1/2+Cx^3 (x^2 + 1)^{-1/2} + C (c) x2+1x2+C\frac{\sqrt{x^2 + 1}}{x^2} + C (d) −13(x2+1)3/2x2+C-\frac{1}{3}\frac{(x^2 + 1)^{3/2}}{x^2} + C

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