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3 cards from this section. Quick, good the night before a test.
Find the area under the curve y = x³ from x = 1 to x = 3.
Calculate the integral of x³.
Determine the area under y = 3x between x = 0 and x = 2.
You need to integrate 3x from 0 to 2.
What does the definite integral calculate?
Think about what integration gives us regarding area.
True or False: The area under the curve can be negative.
Consider what happens when a curve is below the x-axis.
Calculate the area bounded by the curve y = x^3 and the line y = 2x, where they intersect.
Make sure you calculate the definite integral properly after finding the intersection points.
Determine the area under the curve y = e^(-x^2) from x = -∞ to x = +∞.
Think about symmetry in the limits and properties of e^(-x^2).
5 more questions in this section. Enroll free to practise them all.
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