Calculate the value of .

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Calculate the value of ∫−12[e3x+1+4sin⁡(4x−π3)]  dx\displaystyle \int_{-1}^{2} \Bigl[e^{3x+1}+4\sin\bigl(4x-\tfrac{\pi}{3}\bigr)\Bigr] \; dx.

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