0
∫x3ex4 dx = 1/4ex4 + c
To solve, let y = x4, then:
dy = 4x3 dx
⇒ 1/4dy = x3 dx
⇒ ∫x3ex4 dx =∫ex4 x3 dx = ∫ey 1/4 dy
= 1/4ey + c
but y = x4, thus:
= 1/4ex4 + c
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