Select all expressions matching the value of indefinite integral int 0.5^3x+5dx (3x+5)0.5^3x+4+C -(2^-3x-5)/(3ln2)+C -(0.5^3x+5)/(ln2)+C (0.5^3x+5)/(3ln0.5)+C

To find the indefinite integral , we can use the substitution method.Let , then , and .Substituting these values into the integral, we get: Now, we can integrate with respect to : Using the formula for the integral of an exponential function, we have: Simplifying further, we get: Now, substituting back , we get: Therefore, the correct answer is .