Teaching EMRS PGT Mock Test 2023 Mathematics Integral Calculus

Evaluate the integral \(\rm \int^{\frac{3\sqrt3}{2}}_0\frac{x^3}{(4x^2+9)^{\frac{3}{2}}}dx \).

1
\(\frac{4}{15}\)
2
\(\frac{3}{32}\)
3
\(\frac{1}{29}\)
4
\(\frac{2}{23}\)
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