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Evaluate the definite integral `\int_0^(1) (5x^4)/(x^5+3)^4` `d t`
`\int_0^(1) (5x^4)/(x^5+3)^4` `d t=`
Notice how the numerator is related to the derivative of the denominator's base. This relationship often suggests a potential substitution. Consider how you might simplify this integral by making a clever change of variable.
Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Decimal values are not allowed
`37/5184`