मराठी

Evaluate Each of the Following Integral: ∫ π 4 0 Sin 2 X D X

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प्रश्न

Evaluate each of the following integral:

\[\int_0^\frac{\pi}{4} \sin2xdx\]
बेरीज
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उत्तर

\[\int_0^\frac{\pi}{4} \sin2xdx\]
\[ = \left.\frac{- \cos2x}{2}\right|_0^\frac{\pi}{4} \]
\[ = - \frac{1}{2}\left( \cos\frac{\pi}{2} - \cos0 \right)\]
\[ = - \frac{1}{2} \times \left( 0 - 1 \right)\]
\[ = \frac{1}{2}\]
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पाठ 19: Definite Integrals - Very Short Answers [पृष्ठ ११५]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
पाठ 19 Definite Integrals
Very Short Answers | Q 27 | पृष्ठ ११५

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