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# What Is the Integral of Xln(x)?

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 the integral of xln(x) dx = x^2(ln(x)/2) - ((x^2)/4) + C, where C equals a constant.

Continue ReadingThe equation for the integral xln(x) can be found through the integration techniques known as "integration by parts" and "the product rule." Following these rules, the two components of the equation x and ln(x) are separated out and expressed as d(fg) over dx. The integral function is also called the antiderivative because it works in the reverse of the derivative function.

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## 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: -
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## 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: -
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## What Is the Derivative of Ln(2x)?

A: The derivative of ln(2x) is 1/x. This is due to the rules of derived logarithmic expressions, which state that the derivative of ln(ax), where "a" is any r... Full Answer >Filed Under: -
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## What Is the Derivative of Ln(3x)?

A: The derivative of ln(3x) is one over x. The symbol ln is used for a natural log function. The derivative of ln(3x) is expressed as f'(x) equals ln(3x) Full Answer >Filed Under: