Math  /  Calculus

Question1) Use integration by parts or American method to evaluate: b) x3lnxdx\int x^{3} \cdot \ln x d x

Studdy Solution
Simplify the final expression:
=x4lnx4x416+C= \frac{x^4 \ln x}{4} - \frac{x^4}{16} + C
where CC is the constant of integration.
The evaluated integral is:
x4lnx4x416+C\boxed{\frac{x^4 \ln x}{4} - \frac{x^4}{16} + C}

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