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

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 Step-by-step Solution 

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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.

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

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. We can solve the integral \int\ln\left(x\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v.

indeterminate

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve integral of -1lnxdx from 0 to 1 using basic integralsSolve integral of -1lnxdx from 0 to 1 using u-substitutionSolve integral of -1lnxdx from 0 to 1 using integration by partsSolve integral of -1lnxdx from 0 to 1 using tabular integration

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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