Integral of $$$t^{2}$$$ with respect to $$$x$$$
The calculator will find the integral/antiderivative of $$$t^{2}$$$ with respect to $$$x$$$, with steps shown.
Related calculator: Definite and Improper Integral Calculator
Your Input
Find $$$\int t^{2}\, dx$$$.
Solution
Apply the constant rule $$$\int c\, dx = c x$$$ with $$$c=t^{2}$$$:
$${\color{red}{\int{t^{2} d x}}} = {\color{red}{t^{2} x}}$$
Therefore,
$$\int{t^{2} d x} = t^{2} x$$
Add the constant of integration:
$$\int{t^{2} d x} = t^{2} x+C$$
Answer
$$$\int t^{2}\, dx = t^{2} x + C$$$A