(2х + 5)³ = t
6(2x + 5)² dx = dt
(2x + 5)² dx = dt/6
Int (2x + 5)² dx = Int (1/6) dt = 1/6t + C =
= 1/6(2x + 5)³ + C
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Int(4x³ - 6x² - 4x + 3) dx =
= x^4 - 2x³ - 2x² + 3x + C
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Int ( x²(1 + x) )dx = Int ( x² + x³)dx =
= x³/3 + x^4/4 + C
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Int (x/3x²) dx = Int (1/3x) dx =
= 1/3 * Int (1/x) dx = 1/3 * ln|x| + C =
= ln|x| / 3 + C
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Int (e^x + 5) dx = e^x + 5x + C
