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

Step-by-step Solution

Go!
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e
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ln
log
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lim
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sin
cos
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asin
acos
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sinh
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sech
csch

asinh
acosh
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acoth
asech
acsch

Final Answer

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.

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

Unlock the first 3 steps of this solution!

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.

Final Answer

indeterminate