Evaluate the indefinite integrals and evaluate the definite
Evaluate the following indefinite integrals:
1a) ∫x3 = dx
1b) ∫xex = dx Apply integration by parts.
1c) ∫x2ex = dx Apply integration by parts twice.
Evaluate the following definite integrals.
2a) -2∫5 2ex(5x2 + 3)dx
2b) -4∫-2[x2(3x3 - 5x)]dx
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