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प्रश्न
Evaluate:
`int_0^(π/2) sin^8x dx`
बेरीज
उत्तर
`int_0^(π/2) sin^8x dx`
Reduction formula:
`int_0^(π/2) sin^nx dx = ((n - 1)(n - 3)......(1))/(n(n - 2)......(2))*π/2`
∴ `int_0^(π/2) sin^8x dx = ((7)(5)(3)(1))/((8)(6)(4)(2))*π/2`
= `(35π)/256`
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Methods of Evaluation and Properties of Definite Integral
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