DLMF:1.9.E71 (Q355)

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DLMF:1.9.E71
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    a b n = 0 f n ( t ) d t = n = 0 a b f n ( t ) d t . subscript superscript 𝑏 𝑎 subscript superscript 𝑛 0 subscript 𝑓 𝑛 𝑡 𝑡 subscript superscript 𝑛 0 subscript superscript 𝑏 𝑎 subscript 𝑓 𝑛 𝑡 𝑡 {\displaystyle{\displaystyle\int^{b}_{a}\sum^{\infty}_{n=0}f_{n}(t)\mathrm{d}t% =\sum^{\infty}_{n=0}\int^{b}_{a}f_{n}(t)\mathrm{d}t.}}
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