integrable on [d, B]. 5.6 DERIVATIVES OF INTEGRALS 28. Suppose f : [0, 1]→R is continuous and fo f(t) dt = S; f(t) dt for all x E [0, 1]. Prove that f(x) = 0 for all x E [0, 1]. tinuous on la hl and ( f(x) dx = S g(x) dx. Prove that there is %3D

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A: We are authorized to solve only 1 question, please repost remaining questions Definite integration

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.