Integral of $$$a$$$
Related calculator: Definite and Improper Integral Calculator
Your Input
Find $$$\int a\, da$$$.
Solution
Apply the power rule $$$\int a^{n}\, da = \frac{a^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ with $$$n=1$$$:
$${\color{red}{\int{a d a}}}={\color{red}{\frac{a^{1 + 1}}{1 + 1}}}={\color{red}{\left(\frac{a^{2}}{2}\right)}}$$
Therefore,
$$\int{a d a} = \frac{a^{2}}{2}$$
Add the constant of integration:
$$\int{a d a} = \frac{a^{2}}{2}+C$$
Answer
$$$\int a\, da = \frac{a^{2}}{2} + C$$$A
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