Calculus Examples

$\int \frac{x^{4} - 3 x^{2} + 5}{x^{4}} d x$

Step 1

$\int \frac{x^{4} - 3 x^{2} + 5}{x^{4}} d x$ is an antiderivative of $\frac{x^{4} - 3 x^{2} + 5}{x^{4}}$ , so by definition $\frac{d}{d x} [\int \frac{x^{4} - 3 x^{2} + 5}{x^{4}} d x]$ is $\frac{x^{4} - 3 x^{2} + 5}{x^{4}}$ .

$\frac{x^{4} - 3 x^{2} + 5}{x^{4}}$