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  4. The value of definite integral ∫ limits01(√1-x2 ⋅ ln x) d x is equal to

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Q. The value of definite integral $\int\limits_0^1\left(\sqrt{1-x^2} \cdot \ln x\right) d x$ is equal to

Integrals

Solution:

Correct answer is (c) $\frac{-\pi}{4} \ln 2-\frac{\pi}{8}$