- #1
afcwestwarrior
- 457
- 0
2/2x+1
how do i figure this out
how do i figure this out
Is that [tex]\frac{2}{2x+1}[/tex]?afcwestwarrior said:2/2x+1
how do i figure this out
The antiderivative of a polynomial function is obtained by reversing the process of finding the derivative. This means that for a polynomial function, the antiderivative will be a polynomial function with the power of the variable increased by 1 and divided by the new power.
The antiderivative of a trigonometric function depends on the specific trigonometric function. For example, the antiderivative of sine is cosine, and the antiderivative of cosine is negative sine. A table of common antiderivatives for trigonometric functions can be found in calculus textbooks or online.
The antiderivative of an exponential function is itself. In other words, when taking the derivative of an exponential function, the result will be the same exponential function. This is because the derivative of an exponential function is equal to the original function multiplied by the natural logarithm of the base.
The antiderivative of a logarithmic function is the inverse of the logarithmic function. This means that the antiderivative of a logarithmic function will be an exponential function. For example, the antiderivative of log(x) is e^x.
The antiderivative of a rational function is found by breaking down the function into simpler fractions and then finding the antiderivative of each individual fraction. This process is known as partial fraction decomposition. Once the antiderivative of each fraction is found, they can be combined to find the antiderivative of the original rational function.