Evaluate the Integral integral of e^(-5x) with respect to x

Problem

(∫_^)(e(−5*x)*d(x))

Solution

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

2. Apply the rule for integrating an exponential function with a linear exponent, which states that (∫_^)(e(a*x)*d(x))=1/a*e(a*x)+C

3. Substitute the constant a=−5 into the formula.

4. Simplify the expression to its final form.

Final Answer

(∫_^)(e(−5*x)*d(x))=−1/5*e(−5*x)+C

Want more problems? Check here!