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∫ Sin 5 X Cos X D X - Mathematics

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प्रश्न

\[\int \sin^5 x \cos x \text{ dx }\]
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उत्तर

∫ sin5 x cos x dx
Let sin x = t
cos x dx = dt

Now, ∫ sin5 x cos x dx
​= ∫ t5 . dt

\[= \frac{t^6}{6} + C\]
\[ = \frac{\sin^6 x}{6} + C\]

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पाठ 19: Indefinite Integrals - Exercise 19.12 [पृष्ठ ७३]

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आरडी शर्मा Mathematics [English] Class 12
पाठ 19 Indefinite Integrals
Exercise 19.12 | Q 4 | पृष्ठ ७३

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