Evaluate the Integral integral of 1/(y^2) with respect to y

Problem

(∫_^)(1/(y2)*d(y))

Solution

1. Rewrite the integrand using a negative exponent to prepare for the power rule.

(∫_^)(y(−2)*d(y))

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

(y(−2+1))/(−2+1)+C

3. Simplify the exponent and the denominator.

(y(−1))/(−1)+C

4. Rewrite the expression back into fraction form with a positive exponent.

−1/y+C

Final Answer

(∫_^)(1/(y2)*d(y))=−1/y+C

Want more problems? Check here!