Problem 10
Question
Find the indefinite integral and check your result by differentiation. $$ \int-4 d x $$
Step-by-Step Solution
Verified Answer
\(-4x + C\)
1Step 1: Find the indefinite integral
To find the indefinite integral of \(-4\), use the rule that the integral of a constant \(a\) with respect to \(x\) is \(ax + C\), where \(C\) is the arbitrary constant of integration. Applying this rule here gives: \[\int-4dx = -4x + C.\]
2Step 2: Check your result by differentiation
To check if the integral is correct, differentiate it to get original function back. The derivative of \(-4x + C\) is \(-4\). which means that our integral is correct.
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