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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Area inside the parabola y2=4axy^2=4 a x, between the lines x=ax=a and x=4ax=4 a is equal to
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Correct option: C
28a2328 \frac{a^2}{3}
Option C (28a2328 \frac{a^2}{3}) is correct because the area inside the parabola y2=4axy^2=4ax between the lines x=ax=a and x=4ax=4a is found by integrating 2ax2\sqrt{ax} from aa to 4a4a, which results in 283a2\frac{28}{3}a^2.

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