Fundamental Theorem of Calculus: Accumulation Functions
AP Calculus AB · Flashcards · Application
AP CALCULUS AB · FLASHCARDS
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QUESTION
Evaluate
∫
1
4
1
x
d
x
\int_{1}^{4} \frac{1}{x} \, dx
∫
1
4
x
1
d
x
.
QUESTION
Find
d
d
x
∫
2
x
(
3
t
2
+
2
)
d
t
\frac{d}{dx} \int_{2}^{x} (3t^2 + 2) \, dt
d
x
d
∫
2
x
(
3
t
2
+
2
)
d
t
.
QUESTION
Find
∫
−
2
2
x
3
d
x
\int_{-2}^{2} x^3 \, dx
∫
−
2
2
x
3
d
x
.
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ANSWER
0.
x
3
x^3
x
3
is odd, so integral over symmetric interval is zero.
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