`int_0^1 r^3 / sqrt(4 + r^2) dr` Evaluate the integral

Expert Answers

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Let's first evaluate the indefinite integral using the method of substitution,

Substitute `x=4+r^2, =>r^2=x-4`








substitute back `x=r^2+4`  and add constant C to the solution,


Now let's evaluate the definite integral,












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