If \(x=\int_{0}^{3}t^2dt, \) then what is the value of \(x\text{?}\)
1. \(0\)
2. \(3\)
3. \(9\)
4. \(27\)
Subtopic:  Integration |
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The area under the curve \(y=3x^2\) between the co-ordinates \(x = 0\) to \(x = 2\) is:
1. \(8\) m2
2. \(3\) m2
3. \(2\) m2
4. \(9\) m2

Subtopic:  Integration |
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Using a definite integral, what is the area of the region enclosed by the curve \(y=2x,\) the \(x\text-\)axis, and the vertical lines \(x =0\) and \(x =b\)?
1. \(b^2\) 2. \(b^3\)
3. \(2b^2\) 4. \(\dfrac{b^3}{3}\)
Subtopic:  Integration |
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The figure shows the graph of the function \(y=x^2. \) What is the area under the curve from \(x =0 \) to \(x=6, \) i.e., the area of the shaded region?

1. \(72\) 2. \(36\)
3. \(60\) 4. \(44\)
Subtopic:  Integration |
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Level 1: 80%+
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