write a next term of the A.P. ^8,^18,^32
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An other way
Let x=arctanux=arctanu, then sin(2x)=2u1+u2sin(2x)=2u1+u2,
...=∫tan(x)1+u21+u2+2udu=∫tan(x)1+u2(1+u)2du.
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8,18,32
it is not same common difference so it is not in AP
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