Q:
# What Is the Inetegral Ln X?

**The integral of ln(x) with respect to x is xln(x) - x + c, where c is an arbitrary constant.** One can prove that this result is correct by using the method of integration by parts.

By setting u = ln(x) and v = x, one can use the integration by parts identity, which says that the integral of u with respect to v is equal to uv minus the integral of v with respect to u, to show that the integral of ln(x) is xln(x) - x + c. This method also uses the fact that the differential of ln(x) with respect to x is 1/x.

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Q:
## What Is the Integral of Xln(x)?

A: The integral of xln(x) is x squared, times half the ln of x, minus x squared over four, plus a constant. In mathematical notation, the formula looks like t... Full Answer >Filed Under: -
Q:
## What Is the Rule for Ln X 1?

A: The function of ln(x*1) can be expressed using the product rule as ln(x) + ln(1). The function of ln(x^1) can use the power rule to result in 1 x ln(x). Full Answer >Filed Under: -
Q:
## What Is the Y=(ln)x Equation?

A: The equation y = ln(x) states that y is equal to the natural logarithm of x. The natural logarithm is defined as the area under the curve of y = 1/t betwee... Full Answer >Filed Under: -
Q:
## What Is the Antiderivative of E2x?

A: 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 i... Full Answer >Filed Under: