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

Problem

(∫_^)(e(2*y)*d(y))

Solution

1. Identify the form of the integral, which is an exponential function of the form (∫_^)(e(a*y)*d(y))

2. Apply the rule for integrating exponential functions, where (∫_^)(e(a*y)*d(y))=1/a*e(a*y)+C

3. Substitute the constant a=2 into the formula.

4. Add the constant of integration C to complete the indefinite integral.

Final Answer

(∫_^)(e(2*y)*d(y))=(e(2*y))/2+C

Want more problems? Check here!