Q:
# What Is the Antiderivative of E2x?

**The antiderivative of e^(2x) is (e^(2x))/2 + c, where c is an arbitrary constant.** The antiderivative of a function is more commonly called the indefinite integral.

An antiderivative of a general function, f(x), is a function that can be differentiated with respect to x to give f(x). The general result for the antiderivative must contain an arbitrary constant, c, because all constants differentiate to zero. By substituting minimum and maximum values for x into the antiderivative, one can compute a definite integral from this result. It is straightforward to show that (e^(2x))/2 + c differentiates to e^(2x) by using the general rule that e^(f(x)) differentiates to f'(x)e^(f(x)), where f'(x) is the derivative of f(x) with respect to x.

Learn more about Algebra-
Q:
## How Do You Factor Trinomials of the Equation Ax2+bx+c?

A: A trinomial in the form of ax^2 + bx + c is called a "quadratic." To factor a quadratic equation, factor out the greatest common factor, find a pair of fac... Full Answer >Filed Under: -
Q:
## What Is the Integral of Cos X 2?

A: The integral cos(x)^2, typically written as cos^2(x), is equal to x/2 + (1/4)sin(2x) + C. The letter C represents a constant. The integral can be found by ... Full Answer >Filed Under: -
Q:
## What Is Y=csc(x)?

A: The equation y=csc(x) is a trigonometric function that looks like repeating regular and upside down "U"s. This function can also be written as y=1/sin(x) b... Full Answer >Filed Under: -
Q:
## How Does "X" Vary From "Y"?

A: In functions, "Y" is generally used in place of f(X) to represent the output of the function. This output is dependent on the value of the input, which is ... Full Answer >Filed Under: