हिंदी

D∫-22|xcosπx|dx is equal to ______.

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प्रश्न

`int_(-2)^2 |x cos pix| "d"x` is equal to ______.

विकल्प

  • `8/pi`

  • `4/pi`

  • `2/pi`

  • `1/pi`

MCQ
रिक्त स्थान भरें
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उत्तर

`int_(-2)^2 |x cos pix| "d"x` is equal to `8/pi`.

Explanation:

Since I = `int_(-2)^2 |x cos pix| "d"x`

= `2 int_0^2 |x cos pix| "d"x`

= `2 {int_0^(1/2) |x cos pix|"d"x + int_(1/2)^(3/2) |x cos pix| "d"x + int_(3/2)^2 |x cos pix| "d"x}`

= `8/pi`

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अध्याय 7: Integrals - Solved Examples [पृष्ठ १६२]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 12
अध्याय 7 Integrals
Solved Examples | Q 28 | पृष्ठ १६२

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