Show that -2 x-3-x2-3 x d x-log-x2-3 x-C

Let I = ∫2x+3/x^2+3x dx Put x^2+3x = t ⇒ (2x + 3)dx = dt ∴ I = ∫1/tdt = log |t|+C = log|(x^2+3x)|+C ...

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Property 1

Show that ∫2 ...

Question

Show that $\int \frac{2 x + 3}{x^{2} + 3 x} d x = l o g ∣ ∣ x^{2} + 3 x ∣ ∣ + C$

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\int \frac{x^{2} - x - 1}{\sqrt[3]{1 - 3 x}} d x = \frac{- (x^{2} - x - 1) {(1 - 3 x)}^{\frac{2}{3}}}{2} - \frac{(2 x - 1) {(1 - 3 x)}^{\frac{8}{3}}}{k} + C

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