Evaluate the Integral integral of e^(-4x) with respect to x

Problem

(∫_^)(e(−4*x)*d(x))

Solution

1. Identify the form of the integral, which is (∫_^)(e(a*x)*d(x)) where a=−4

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

3. Substitute the value a=−4 into the formula.

4. Simplify the resulting expression.

Final Answer

(∫_^)(e(−4*x)*d(x))=−1/4*e(−4*x)+C

Want more problems? Check here!