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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1
If ∫  2 1+sin⁡  x   dx=− 4  cos⁡  (ax+  b)+c\int \,\,\sqrt 2 \,\sqrt {1 + \sin \,\,x\,\;} dx = - \,4\,\,\cos \,\,\left( {ax + \,\,b} \right) + c, then the value of a,  ba,\,\,b are respectively
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Correct option: A
12,  π4\frac{1}{2},\,\,\frac{\pi }{4}
Option A (12, π4\frac{1}{2},\,\frac{\pi }{4}) is correct because after simplifying the integral, the values of a and b can be identified by comparing the result with the given form.

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