∫
Area Between Two Curves
AP Calculus AB · Unit 5: Integration
↺ Reset
⛶ Fullscreen
Area ≈
0.00
Riemann
0.00
Rectangles
20
a =
-2.00
b =
2.00
Exact Area =
—
Riemann ≈
—
Error =
—
Lower Bound a
-2.00
Upper Bound b
2.00
Riemann Rectangles n
20
Function Pair
x² vs 2−x²
sin vs cos
x+2 vs x²
eˣ vs x+1
Display
Riemann
Shaded Area
Intersections
Integral Setup
📝 Quick Quiz
▼
1. To find the area between f(x)=x+2 and g(x)=x² from x=−1 to x=2, you integrate:
∫(x²−x−2)dx
∫(x+2−x²)dx
∫(x²+x+2)dx
∫|x²−x|dx
2. As the number of Riemann rectangles n → ∞, the sum approaches:
The average value
The definite integral
The derivative
Zero
3. If f(x) and g(x) cross within [a,b], you must:
Ignore the crossing
Only integrate to the left of the crossing
Split into sub-intervals at each crossing
Use the absolute value of f−g
Check Answers