Find the Integral y^2

Problem

(∫_^)(y2*d(y))

Solution

1. Identify the variable of integration as y and the integrand as the power function y2

2. Apply the power rule for integration, which states that (∫_^)(yn*d(y))=(y(n+1))/(n+1)+C for any n≠−1

3. Substitute n=2 into the power rule formula.

4. Simplify the exponent and the denominator by calculating 2 + 1 = 3$.

5. Add the constant of integration C to represent the family of antiderivatives.

Final Answer

(∫_^)(y2*d(y))=(y3)/3+C

Want more problems? Check here!