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If y=int(x^(2))^(x^(3))1/(logt)dt(xgt0),...

If `y=int_(x^(2))^(x^(3))1/(logt)dt(xgt0)`, then find `(dy)/(dx)`

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`y=int_(x^(2))^(x^(3))1/(logt)dt`
`:. (dy)/(dx)=1/(logx^(3)) d/(dx)(x^(3))-1/(logx^(2))d/(dx)(x^(2))`
`=(3x^(2))/(3logx)-(2x)/(2logx)`
`=(x^(2)-x)/(logx)`
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CENGAGE-DEFINITE INTEGRATION -JEE Advanced Previous Year
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