MathAnalysisCalculusIntegrals

Integration by parts

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Let's consider the following integral:

$\int x^3 \sin(x^2) dx$

Which of the following combinations would yield an easier integral to solve?

Select one option from the list

u = x^2 \quad \text{and} \quad dv = x \sin(x^2) dx

u = x^3 \quad \text{and} \quad dv = \sin(x^2) dx

u = \sin(x^2) \quad \text{and} \quad dv = x^3 dx

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