If `int_0^asqrt(x)dx=2aint_0^(pi//2)sin^3xdx` find the value of integral `int_a^(a+1)xdxdot`

Explanation

To solve the problem, we start with the given equation:

\[ \int_0^{a} \sqrt{x} \, dx = 2a \int_0^{\frac{\pi}{2}} \sin^3 x \, dx \]

### Step 1: Evaluate the left-hand side integral
We first evaluate the left-hand side integral:
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