Final answer to the problem
$\left(1+1\right)\ln\left|1+1\right|- 1-1-\left(\left(0+1\right)\ln\left|0+1\right|- 0-1\right)$
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Step-by-step Solution
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- Integrate by partial fractions
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- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
The integral $\int\ln\left(1+x\right)dx$ results in $\left(x+1\right)\ln\left(x+1\right)-\left(x+1\right)$
Learn how to solve definite integrals problems step by step online.
$\left[\left(\left(x+1\right)\ln\left|x+1\right|-\left(x+1\right)\right)\right]_{0}^{1}$
Learn how to solve definite integrals problems step by step online. Integrate the function ln(1+x) from 0 to 1. The integral \int\ln\left(1+x\right)dx results in \left(x+1\right)\ln\left(x+1\right)-\left(x+1\right). Simplify the product -(x+1). Evaluate the definite integral.
Final answer to the problem
$\left(1+1\right)\ln\left|1+1\right|- 1-1-\left(\left(0+1\right)\ln\left|0+1\right|- 0-1\right)$
Exact Numeric Answer
$0.386294$
