Find the Antiderivative x^4

Problem

(∫_^)(x4*d(x))

Solution

1. Identify the expression as a power function of the form xn where n=4

2. Apply the power rule for integration, which states that (∫_^)(xn*d(x))=(x(n+1))/(n+1)+C for any n≠−1

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

(x(4+1))/(4+1)+C

4. Simplify the exponent and the denominator.

(x5)/5+C

Final Answer

(∫_^)(x4*d(x))=(x5)/5+C

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