If 100π∫0sin2xe(xπ−[xπ])dx=απ31+4π2,α ∈ R, where [x] is the greatest integer less than or equal to x, then the value of α is:

If 100π∫0sin2xe(xπ−[xπ])dx=απ31+4π2,α ∈ R, where [x] is t

1.	If 100π∫0sin2xe(xπ−[xπ])dx=απ31+4π2,α ∈ R, where [x] is the greatest integer less than or equal to x, then the value of α is:
Answer» If $100 π \int 0 \frac{{sin}^{2} x}{e^{(\frac{x}{π} - [\frac{x}{π}])}} d x = \frac{α π^{3}}{1 + 4 π^{2}}, α \in R,$ where $[x]$ is the greatest integer less than or equal to $x$ , then the value of $α$ is:

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If 100π∫0sin2xe(xπ−[xπ])dx=απ31+4π2,α ∈ R, where [x] is the greatest integer less than or equal to x, then the value of α is:

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