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Integrate the function $-\ln\left(x\right)$ from 0 to $1$

Step-by-step Solution

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Final answer to the problem

indeterminate

Step-by-step Solution

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  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Integrate using basic integrals
  • Product of Binomials with Common Term
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The integral of a constant times a function is equal to the constant multiplied by the integral of the function

$-\int_{0}^{1}\ln\left(x\right)dx$

Learn how to solve definite integrals problems step by step online.

$-\int_{0}^{1}\ln\left(x\right)dx$

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Learn how to solve definite integrals problems step by step online. Integrate the function -ln(x) from 0 to 1. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. The integral of the natural logarithm is given by the following formula, \displaystyle\int\ln(x)dx=x\ln(x)-x. Evaluate the definite integral. Simplify the expression.

Final answer to the problem

indeterminate

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Function Plot

Plotting: $-\ln\left(x\right)$

Main Topic: Definite Integrals

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

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