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Evaluate the definite integral: ∫0π4sin2xdx - Mathematics

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Question

Evaluate the definite integral:

`int_0^(pi/4) sin2xdx`

Sum

Solution

Let `I = int_0^(pi/4) sin 2x  dx`

`= (-1)/2 [cos 2x]_0^(pi/4)`

`= (-1)/2 (cos  pi/2 - cos 0)`

`= 1/2`

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Chapter 7: Integrals - Exercise 7.9 [Page 338]

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NCERT Mathematics [English] Class 12
Chapter 7 Integrals
Exercise 7.9 | Q 4 | Page 338
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