Question #3dc90 Calculus Introduction to Integration Definite and indefinite integrals 1 Answer Eddie Mar 17, 2017 # = -(1)/(2y^2) + C# Explanation: Use the power rule: #int \ y^n \ dy = (y^(n+1))/(n+1) + C# Here you have: #int \ 1/y ^3 \ dy = int \ y ^ (-3) \ dy = (y^(-3+1))/(-3+1) + C# # = (y^(-2))/(-2) + C# # = -(1)/(2y^2) + C# Answer link Related questions What is the difference between definite and indefinite integrals? What is the integral of #ln(7x)#? Is f(x)=x^3 the only possible antiderivative of f(x)=3x^2? If not, why not? How do you find the integral of #x^2-6x+5# from the interval [0,3]? What is a double integral? What is an iterated integral? How do you evaluate the integral #1/(sqrt(49-x^2))# from 0 to #7sqrt(3/2)#? How do you integrate #f(x)=intsin(e^t)dt# between 4 to #x^2#? How do you determine the indefinite integrals? How do you integrate #x^2sqrt(x^(4)+5)#? See all questions in Definite and indefinite integrals Impact of this question 1238 views around the world You can reuse this answer Creative Commons License