Question

Integrate: (xˆ2+1)/2xˆ2

Answer 1

\[\int\limits \frac{x^2+1}{2 x^2} \, dx\]

Answer 2

Factor 1/2,
\[\frac{1}{2} \int\limits \frac{x^2+1}{x^2} \, dx\]

Answer 3

Expand out fractions
\[\frac{1}{2} \int\limits \left(1+\frac{1}{x^2}\right) \, dx\]

Answer 4

Split
\[\frac{1}{2} \int\limits \frac{1}{x^2} \, dx+ \frac{1 }{2} \int\limits 1dx\]

Answer 5

Integrate using power rule
\[\int\limits x^n=\frac{x^{n+1}}{n+1}+c\]

Answer 6

@.Sam. Thanks!!(: