Question

integrate ∫ ( 1/x - 1/x² ) limits - from 1 to 2​

Answer 1

Step-by-step explanation:

$\int\limits_{1}^{2} (\frac{1}{x}- \frac{1}{x²} ) \,dx=\int\limits_{1}^{2} \frac{1}{x}-\int\limits_{1}^{2} \frac{1}{x²}\\=\left[log|x|\right]_{1}^{2}-\left[-\dfrac{1}{x}\right]_{1}^{2}\\=\left[log2-log1 \right]- \left[ - \dfrac{1}{2} + 1 \right] \\= 0.3 - 0.5 \\ = - 0.2$