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NCERT Class XII Mathematics Chapter - - Solutions

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Exercise - 7.9
Evaluate the definite integrals in Exercises 176 to 195.
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Question : 180 of 271
Marks: +1, -0
∫0π4cos⁡2xdx\int\limits_{0}^{\frac{\pi}{4}}\cos 2x dx
Solution:  
∫0π4cos⁡2xdx\int\limits_{0}^{\frac{\pi}{4}}\cos 2x dx
=[12sin⁡2x]0π2= \left[ \frac{1}{2} \sin 2x \right]_{0}^{\frac{\pi}{2}}
=12(sin⁡π−sin⁡0)= \frac{1}{2} (\sin \pi - \sin 0)
=12(0−0)=0= \frac{1}{2} (0 - 0) = 0
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