Question

Solve for:
∫_(-1)^1 x^3+1/2 dx

Answer 1

`\int _(\left(-1\right))^1(x^3+1)/(2)dx`

`=(1)/(2)\cdot \int _(\left(-1\right))^1x^3+1dx \Leftarrow(take \: constant\: out)`

`=(1)/(2)\left(\int _(\left(-1\right))^1x^3dx+\int _(\left(-1\right))^11dx\right) \Longleftarrow (Sum\:Rule)`

`\int _(\left(-1\right))^1x^3dx=0`

`\int _(\left(-1\right))^11dx=2`

`=(1)/(2)\left(0+2\right)`

`=1`

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OAmalOHopeO

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