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*since both of these are algebraic functions, the liate. Integration by parts of indefinite integrals. β«π₯β1 π₯=ln(π₯) β« π₯ π₯ =ln(π₯) β« |π₯ π₯=π₯βπ₯ 2 2 β« π₯ π₯= π₯ β«sin(π₯) π₯=βcos(π₯) β«cos(π₯) π₯=sin(π₯) trigonometric integrals: Let's find, for example, the indefinite integral β« x cos x d x. Web let u be that portion of the integrand whose derivative.
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