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Integration (a) Determine the following indefinite integrals: \int x^{3} d x \int \frac{1}{y^{3}} d y \int t^{5 / 2} d t (b) Determine the following definite integrals: \int_{a}^{b}(1+2 t) d
t \int_{0}^{t} e^{-2 z} d z
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