Evaluate the integral ∫π4π12 ∫ π 12 π 4 2 cos 2x dx

Question 1 Report

Evaluate the integral $\int_{\frac{π}{12}}^{\frac{π}{4}}$ 2 cos 2x dx

\frac{1}{2}

-1

\frac{1}{2}

Answer Details

let I = $\int_{\frac{π}{12}}^{\frac{π}{4}}$ 2 cos 2x dx
= 2(sin 2x) $\frac{π}{4}$ (sin 2x) $\frac{π}{4}$ $\frac{π}{12}$
(2) $\frac{π}{12}$
= -1 - $\frac{1}{2}$
= $\frac{1}{2}$

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Integration

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