Evaluate the Integral integral of ydy with respect to y

Problem

(∫_^)(y*d(y))

Solution

1. Identify the integrand as a power function of the form yn where n=1

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

3. Substitute n=1 into the formula to get (y(1+1))/(1+1)+C

4. Simplify the expression by performing the addition in the exponent and the denominator.

Final Answer

(∫_^)(y*d(y))=(y2)/2+C

Want more problems? Check here!