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int1^2(3x-2)dx...

`int_1^2(3x-2)dx`

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int_1^2 (3x^2+1)dx =

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IfI_1=int_0^1 2^(x^2)dx ,I_2=int_0^1 2^(x^3)dx ,I_3=int_1^2 2^(x^2)dx ,I_4=int_1^2 2^(x^3)dx , then which of the following is/are true?

int_1^4 3x^2dx

int_1^3 (3x^2+1)dx =