Roboguru
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Nilai dari ∫03π​​(sin 5x+sin x)dx = ....

Pertanyaan

Nilai space dari space 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....

  1. negative 3 over 5

  2. negative 1 fifth

  3. 0

  4. 1 fifth

  5. 3 over 5

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

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