Question

$$\int \frac { 1 } { a ^ { 2 } - x ^ { 2 } } d x$$

Answer

$$int*a^2-IM*x^3*d*s$$

Solution


Simplify  \(int\times 1\times {a}^{2}\)  to  \({a}^{2}int\).
\[{a}^{2}int-{x}^{2}dx\imath s\]
Regroup terms.
\[int{a}^{2}-{x}^{2}dx\imath s\]
Regroup terms.
\[int{a}^{2}-{x}^{2}xds\imath \]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[int{a}^{2}-{x}^{2+1}ds\imath \]
Simplify  \(2+1\)  to  \(3\).
\[int{a}^{2}-{x}^{3}ds\imath \]
Regroup terms.
\[int{a}^{2}-\imath {x}^{3}ds\]