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Calculus is the branch of mathematics which deals with the study of rate of change of quantities. This is usually divided into differential calculus and integral calculus which are concerned with derivatives and integrals respectively. DO NOT USE THIS TAG just because your question makes use of calculus.
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Check dimensions of the integral of a function
I and a colleague are arguing about the dimensions of:
$$\int_0^x f(x) dx $$
in this particular case $[f(x)]=m^2/s^3$ and $[x]=m$.
Does it follow that $[\int_0^x f(x) dx]=m^2/s^3$ or $[\int_0^x f(x …