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Created by Niamh Ryan
almost 8 years ago
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Example:
Find the area enclosed by the function f(x)=4x3 between x=−2 and x=2\\
Answer:
If we integrate this as usual, we will get answer that doesn't make sense. ∫2−24x3dx=[x4]2−2=24−(−2)4=0
∫204x3dx=[x4]20=24−(0)4=16
∫0−24x3dx=[x4]0−2=0−(−2)4=−16
Now, to find the area, we sum the absolute value of these two integrands. Area=16+∣−16∣=32