Calculus Examples

\int_{0}^{t} 6 x d x

$\int_{0}^{t} 6 x d x$

Step 1

Take the derivative of

\int_{0}^{t} 6 x d x

$\int_{0}^{t} 6 x d x$ with respect to

t

$t$ using Fundamental Theorem of Calculus.

6 t

$6 t$

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$