Error of approximations

Error of Approximations

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How large does n have to be to guarantee that the integral approximation of ∫02x5dx\displaystyle \int_0^2x^5dx∫02​x5dx 
using the Midpoint rule is accurate to within 0.0001?

n≥1280000045n\ge\sqrt{\frac{12800000}{45}}n≥4512800000​​

n≥16000003n\geq\sqrt{\frac{1600000}{3}}n≥31600000​​

n≥32000003n\ge\sqrt{\frac{3200000}{3}}n≥33200000​​

n≥320000034n\geq\sqrt[4]{\frac{3200000}{3}}n≥433200000​​

n≥160000034n\geq\sqrt[4]{\frac{1600000}{3}}n≥431600000​​

I don't know

Error of approximations

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Error of Approximations