Find the Integral e^(4x)

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 exponential functions of the form e(a*x) which states that (∫_^)(e(a*x)*d(x))=1/a*e(a*x)+C

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

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

Final Answer

(∫_^)(e(4*x)*d(x))=(e(4*x))/4+C

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