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1.Let R be the shaded region below enclosed by the y−axis, the line y = x−1...

1.Let R be the shaded region below enclosed by the y−axis, the line y = x−1 and the curve y = −x2 +1. Find the volume of the solid formed by revolving R about the y−axis.

2. Integrate∫ x^3 lnx dx.

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