## How do you find the antiderivative of ln?

Explanation: To find an antiderivative of lnx , we must find ∫lnxdx . To do so, we use integration by parts.

## How do I find the most general antiderivative?

We define the most general antiderivative of f(x) to be F(x) + C where F′(x) = f(x) and C represents an arbitrary constant. If we choose a value for C, then F(x) + C is a specific antiderivative (or simply an antiderivative of f(x)). We consider some examples.

**What is the integral of a ln?**

Solution. We see that the integral of ln(x) is xln(x) – x + C.

**How do you find the general equation of an antiderivative?**

Either way, the general antiderivative is x+c and so ∫1dx=x+c, where c is a constant.

### Does 1 LNN converge?

Answer: Since ln n ≤ n for n ≥ 2, we have 1/ ln n ≥ 1/n, so the series diverges by comparison with the harmonic series, ∑ 1/n.

### What is a general antiderivative?

Definition: General Antiderivative The function F(x) + C is the General Antiderivative of the function f(x) on an interval I if F (x) = f(x) for all x in I and C is an arbitrary constant. Definition: Indefinite Integral The Indefinite Integral of f(x) is the General Antiderivative of f(x).

**How do you find the antiderivative example?**

To find an antiderivative for a function f, we can often reverse the process of differentiation. For example, if f = x4, then an antiderivative of f is F = x5, which can be found by reversing the power rule. Notice that not only is x5 an antiderivative of f, but so are x5 + 4, x5 + 6, etc.

**How do you calculate anti – derivative?**

To find the anti-derivative of a particular function, find the function on the left-hand side of the table and find the corresponding antiderivative in the right-hand side of the table. For example, if the antiderivative of cos(x) is required, the table shows that the anti-derivative is sin(x) + c.

#### What is an indefinite integral?

An indefinite integral is a function that takes the antiderivative of another function. It is visually represented as an integral symbol, a function, and then a dx at the end.

#### How do you calculate integral?

Integrals are mathematical ideas used in generalizing the area of a graph or the volume of a three-dimensional object. Open the “Y=” menu of the calculator. Graph the curve, “y=f(x).”. Press the “2nd” button. Press the “Trace” button. Select option number seven.