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 a basic exponential function of the form (∫_^)(e(a*x)*d(x))

2. Apply the rule for integrating exponential functions where the exponent is a linear function of x

3. Divide the expression by the coefficient of x which is 4 and keep the exponential term unchanged.

4. Add the constant of integration C to the result.

Final Answer

(∫_^)(e(4*x)*d(x))=(e(4*x))/4+C

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