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Integrate the following w.r.t.x : xsec(x32)⋅tan(x32) - Mathematics and Statistics

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प्रश्न

Integrate the following w.r.t.x : `sqrt(x)sec(x^(3/2))*tan(x^(3/2))`

योग
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उत्तर

Let I = `int sqrt(x)sec(x^(3/2))*tan(x^(3/2))`

Put `x^(3/2)` = t

∴ `(3)/(2) sqrt(x)*dx` = dt

∴ `sqrt(x)*dx = (2)/(3)*dt`

∴ I = `(2)/(3) int sec t tan t*dt`

= `(2)/(3)sec t + c`

= `(2)/(3) sec(x^(3/2)) + c`.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Indefinite Integration - Miscellaneous Exercise 3 [पृष्ठ १५०]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
अध्याय 3 Indefinite Integration
Miscellaneous Exercise 3 | Q 3.04 | पृष्ठ १५०

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