Integral of $$$a$$$

The calculator will find the integral/antiderivative of $$$a$$$, with steps shown.

Related calculator: Definite and Improper Integral Calculator

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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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