Home/Calculus II/ppp-integrals/Formula9.3. \(p\)-integralsFormulaIn 9.3. ppp-integralsFormulaCopy LaTeX∫01dxxp{converge,p<1,diverge,p≥1.\int_0^1\frac{dx}{x^p} \begin{cases} \text{converge},&p<1,\\ \text{diverge},&p\ge1. \end{cases}∫01xpdx{converge,diverge,p<1,p≥1.Tagsantiderivativeconvergencetest convergenceintegral improperintegrals improper integrals type pVariablesxxxVariable independiente (variable de integración)dxdxdxDiferencial respecto de xxxpppExponente en series o integrales tipo pFound an error? Contact us.Related formulasRelatedFormula∫1∞dxxp{converge,p>1,diverge,p≤1.\int_1^{\infty}\frac{dx}{x^p} \begin{cases} \text{converge},&p>1,\\ \text{diverge},&p\le1. \end{cases}∫1∞xpdx{converge,diverge,p>1,p≤1.Open formulaOpen in section