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If the integral int(sin^(-1)(sin8))^(tan...

If the integral `int_(sin^(-1)(sin8))^(tan^(-1)(tan8))(sin^(3)(x^(5))+sin^(5)(x^(3)))/(cos^(6)x+cos^(8)x)dx` has the value `lambda`; then the least prime number greater than `lambda` is

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