Let J= x^ 3 x^ 2 +1 ,dx.

MATHEMATICS · Multi-part · A Level · Mathematics · Integration · Integration

Problem

Let J=∫x3x2+1 dx.J=\int \frac{x^{3}}{x^{2}+1}\,dx. (a) Decompose J=∫x3x2+1 dx\displaystyle J=\int \frac{x^{3}}{x^{2}+1}\,dx into two simpler integrals. (b) Evaluate JJ in simplest form.

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