\int{1+(sinx)^{2\/3}}/{1+(sinx)^{4\/3}} d (sinx)^{1\/3} is equal to

Correct Answer is : 1√2tan−1((sinx)2∕3−1√2(sinx)2∕3) + c

1/\sqrt2 {(sinx)^{2\/3}-1}/{\sqrt2(sinx)^{1\/3}} + c

1/\sqrt2 \tan ^{-1} ({(sinx)^{2\/3}-1}/{\sqrt2(sinx)^{2\/3}}) + c

1/\sqrt2 \tan ^{-1} ({(sinx)^{1\/3}-1}/{\sqrt2(sinx)^{2\/3}}) + c

JEE Mains Model Paper 14

Question : 90 of 90

Marks: +1, -0

∫

1+(sinx)2∕3

1+(sinx)4∕3

d (sinx)1∕3 is equal to

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