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3
1999 Calculus #3: Interesting Integral with Irrational Bound
1999 Calculus #3: Interesting Integral with Irrational Bound
Source:
June 21, 2012
calculus
integration
trigonometry
function
Problem Statement
Find
∫
−
4
π
2
4
π
2
(
sin
x
1
+
x
4
+
1
)
d
x
.
\int_{-4\pi\sqrt{2}}^{4\pi\sqrt{2}}\left(\dfrac{\sin x}{1+x^4}+1\right)dx.
∫
−
4
π
2
4
π
2
(
1
+
x
4
sin
x
+
1
)
d
x
.
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