Calculus Examples

$\int_{0}^{x} (1 + 2 t + 3 t^{2} + 4 t^{3}) d t$

Step 1

Take the derivative of $\int_{0}^{x} 1 + 2 t + 3 t^{2} + 4 t^{3} d t$ with respect to $x$ using Fundamental Theorem of Calculus.

$1 + 2 x + 3 x^{2} + 4 x^{3}$

Step 2

Reorder terms.

$4 x^{3} + 3 x^{2} + 2 x + 1$