Numerical Integration (Midpoint Rule)

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Hello dears I will appreciate if any one helps with solutions with steps :)

Midpoint rule is used to solve this integration: $$ \int_0^{x_n} x^3\, dx $$ and equal to $35$. Find $x_n$ is represented end point of integration using a numerical technique and $n=3$?

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I solved the Q now without using any of your root finding methods only algebraically and of-course with Midpoint Rule. See the attached image please. enter image description here If any of you have another method please share it with us not only by saying but by steps please.