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Maths Integration

What does the integral of a function find?

What is the ~\int_0^1~1\,dx
.

What is the ~\int_0^2~x\,dx~.

Find the value of ~d~ such that ~\int_0^d~0.5x~\,dx=0.5~.

What is ~\int~e^x~\,dx~.

What is ~\int~e^{-x}~\,dx~.

What is ~\int~xe^{x^2}~\,dx~?
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