मराठी

Evaluate the following: d∫sinx+cosx1+sin2xdx

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प्रश्न

Evaluate the following:

`int (sinx + cosx)/sqrt(1 + sin 2x) "d"x`

बेरीज
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उत्तर

I = `int (sinx + cosx)/sqrt(1 + sin 2x) "d"x`

= `int (sinx + cosx)/sqrt(sin^2x + cos^2x + 2 sin x cosx) "d"x`

= `int (sin x + cosx)/sqrt((sinx + cosx)^2) "d"x`

= `int 1"d"x`

= x + C

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पाठ 7: Integrals - Exercise [पृष्ठ १६४]

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