Integration and Accumulation of Change

A constant, $C$

The bounds of integration

A derivative

An absolute value

$x^5 + C$

20x^3 + C

5x^5 + C

$\frac{5}{4}x^4 + C$

$x^3 - x^2 + x + C$

6x - 2 + C

$x^3 - x^2 + C$

$x^3 - x^2 + 1 + C$

$\frac{1}{4}sin^2(2x) + C$

$\frac{1}{2}sin^2(2x) + C$

$sin^2(2x) + C$

$\frac{1}{2}cos^2(2x) + C$

$cos(x) + C$

$-cos(x) + C$

$sec(x) + C$

$-sec(x) + C$

5ln|x| + C

$\frac{5}{x^2} + C$

5ln(x) + C

$\frac{5}{x^2} + C$

$e^x + 2ln|x| + C$

$e^x + 2ln(x) + C$

$e^x - \frac{2}{x^2} + C$

$e^x + \frac{1}{2x^2} + C$

$\frac{2}{3}x^{3/2} - \frac{1}{2x^2} + C$

$\frac{3}{2}x^{3/2} + \frac{3}{2x^2} + C$

$\frac{2}{3}x^{3/2} + \frac{1}{2x^2} + C$

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

$\frac{x^4}{4} + 2x^2 + C$

3x^2 + 4 + C

$\frac{x^4}{4} + 4x^2 + C$

$\frac{x^4}{4} + 2x + C$

2x^3 - 2e^x + C

2x^3 - 2e^x + C

2x^3 - 2x + C

6x^3 - 2e^x + C