If x2=nπ−1,n∈N. Then, the value of ∫x2sin(x2+1)+sin2(x2+1)2sin(x2+1)−sin2(x2+1)dx is equal to:

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If {x}^{{2}}{n}-{1},{n}{N}. Then, the value of {x}{{{{{2}{{{({

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If $x^{2} \neq = n π - 1, n \in N$ . Then, the value of $\int x \frac{2 sin ( x ^{2} + 1 ) - sin 2 ( x ^{2} + 1 )}{2 sin ( x ^{2} + 1 ) + sin 2 ( x ^{2} + 1 )} d x$ is equal to:

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x^{2} \neq = n π - 1, n \in N

. Then, the value of

\int x \frac{2 sin ( x ^{2} + 1 ) - sin 2 ( x ^{2} + 1 )}{2 sin ( x ^{2} + 1 ) + sin 2 ( x ^{2} + 1 )} d x

is equal to:

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Question Text

x^{2} \neq = n π - 1, n \in N

. Then, the value of

\int x \frac{2 sin ( x ^{2} + 1 ) - sin 2 ( x ^{2} + 1 )}{2 sin ( x ^{2} + 1 ) + sin 2 ( x ^{2} + 1 )} d x

is equal to: