The value of ∫011+x2x4(1−x)4dx is/are(a)722−π (b) 1052(c)0 (d) 1571−23π

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The value of {_{{0}}^{{1}}}{{{x}^{{4}}{({1}-{x})}^{{4}}}}{{{1}

Question

The value of $\int_{0}^{1} \frac{x ^{4} ( 1 - x ) ^{4}}{1 + x ^{2}} d x$ is/are(a) $\frac{22}{7} - π$ (b) $\frac{2}{105}$ (c) $0$ (d) $\frac{71}{15} - \frac{3 π}{2}$

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The value of

\int_{0}^{1} \frac{x ^{4} ( 1 - x ) ^{4}}{1 + x ^{2}} d x

is/are(a)

\frac{22}{7} - π

(b)

\frac{2}{105}

(c)

0

(d)

\frac{71}{15} - \frac{3 π}{2}

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Question Text

The value of

\int_{0}^{1} \frac{x ^{4} ( 1 - x ) ^{4}}{1 + x ^{2}} d x

is/are(a)

\frac{22}{7} - π

(b)

\frac{2}{105}

(c)

0

(d)

\frac{71}{15} - \frac{3 π}{2}