ART
FINANCIAL ACCTG
CALC II
25FA-MA
Section 1
5.2 The I
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11. [- / 1 Points]
Use the identity \( \int_{-A}^{A} f(x) d x=\int_{-A}^{0} f(x) d x+\int_{0}^{A} f(x) d x \) to compute the integral.
\[
\int_{-\pi}^{\pi} \frac{\sin (t)}{1+t^{2}} d t(H \operatorname{in} t: \sin (-t)=-\sin (t))
\]
\( \square \)
\( + \)
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12. [-/1 Points]
Given that \( \int_{0}^{1} x d x=\frac{1}{2}, \int_{0}^{1} x^{2} d x=\frac{1}{3} \), and \( \int_{0}^{1} x^{3} d x=\frac{1}{4} \), compute the integral.
\[
\int_{0}^{1}(1-2 x)^{3} d x
\]
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