Try another version of this question Evaluate the definite integral `\int_0^(1) (3x^2)/(x^3+2)^2` `d t` `\int_0^(1) (3x^2)/(x^3+2)^2` `d t=`
Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
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.
Enter DNE for Does Not Exist, oo for Infinity
Decimal values are not allowed `1/6`