Pertanyaan

Hasil dari ∫ x 2 sin x 1 d x = ....

Hasil dari $\int \frac{sin \frac{1}{x}}{x ^{2}} d x = ....$

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$integral fraction numerator sin begin display style 1 over x end style over denominator x squared end fraction d x Menggunakan space teknik space substitusi u equals 1 over x rightwards double arrow u equals x to the power of negative 1 end exponent d u equals negative 1. x to the power of negative 2 end exponent space d x d u equals negative 1 over x squared d x left right double arrow d x equals negative x squared d u maka colon integral fraction numerator sin begin display style open parentheses 1 over x close parentheses end style over denominator x squared end fraction d x equals integral fraction numerator sin begin display style space end style begin display style u end style over denominator x squared end fraction left parenthesis negative x squared d u right parenthesis space space space space space space space space space space space space space space space space space space space space space space space equals negative integral sin space u space d u space space space space space space space space space space space space space space space space space space space space space space space equals negative left parenthesis negative cos space u right parenthesis plus C space space space space space space space space space space space space space space space space space space space space space space space equals cos open parentheses 1 over x close parentheses plus C$

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