Find the Antiderivative x^-4

Problem

(∫_^)(x(−4)*d(x))

Solution

1. Identify the power rule for integration, which states that for any n≠−1 the integral of xn is (x(n+1))/(n+1)+C

2. Apply the formula by substituting n=−4 into the power rule expression.

3. Add 1 to the exponent: −4+1=−3

4. Divide the expression by the new exponent, which is −3

5. Simplify the resulting fraction and include the constant of integration C

Final Answer

(∫_^)(x(−4)*d(x))=−1/3*x(−3)+C

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