COMPLEX VARIABLES: What is the integral from -2 to 0 of (2t + it^2)dt?
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Answer:
Notice that the integral of 2t from -2 to 0 is 0^2 - (-2)^2, which equals -4. Also, the integral of t^2 from -2 to 0 is (1/3)0^3 - (1/3)(-2)^2, which equals -4/3 So the integral of 2t + it^2 from -2 to 0 is equal to -4 - (4/3)i
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Other answers
Notice that the integral of 2t from -2 to 0 is 0^2 - (-2)^2, which equals -4. Also, the integral of t^2 from -2 to 0 is (1/3)0^3 - (1/3)(-2)^2, which equals -4/3 So the integral of 2t + it^2 from -2 to 0 is equal to -4 - (4/3)i
Ken
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