Pertanyaan

Nilai dari ∫ 0 3 π ( sin 5 x + sin x ) d x = ....

$Nilai dari \int_{0}^{\frac{π}{3}} (sin 5 x + sin x) d x = ....$

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F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

Jawaban terverifikasi

Pembahasan

$integral subscript 0 superscript straight pi over 3 end superscript left parenthesis sin space 5 x plus sin space x right parenthesis d x space equals space minus 1 fifth cos space 5 x space minus space cos space x large vertical line subscript 0 superscript straight pi over 3 end superscript space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space open parentheses negative 1 fifth cos fraction numerator 5 straight pi over denominator 3 end fraction space minus space cos straight pi over 3 close parentheses minus open parentheses negative 1 fifth cos space 0 space minus space cos space 0 close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space open parentheses negative 1 fifth open parentheses 1 half close parentheses minus 1 half close parentheses minus open parentheses negative 1 fifth left parenthesis 1 right parenthesis minus 1 close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space minus 6 over 10 plus 6 over 5 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 6 over 10 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 3 over 5$