Evaluate the integral.

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Evaluate the integral. ∫0π/4(sec⁡ttan⁡ti+tcos⁡2tj+sin⁡22tcos⁡2tk)dt\int_{0}^{\pi/4} (\sec t \tan t \mathbf{i} + t \cos 2t \mathbf{j} + \sin^2 2t \cos 2t \mathbf{k}) dt

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