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

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indeterminate

## Step-by-step Solution

Problem to solve:

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

Specify the solving method

1

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

### Explore different ways to solve this problem

Basic IntegralsIntegration by SubstitutionIntegration by PartsTabular Integration
$\int_{0}^{1}\left(-1\right)\cdot\ln\left(x\right)dx$

### Main topic:

Definite Integrals

~ 0.07 s