Evaluation of integrals, where limits are in radians?

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$$\int_0^1 2x \cdot \cos(x^2+2) \, dx$$

(Limits are in Radians) Could anyone point me in the right direction, thanks in advance.

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\begin{align} & \int_0^1 2x\cos\left(x^2+2\right)\,dx\overset{u=x^2+2}{\longrightarrow} \left. \int_2^3 \cos(u)\,du=\sin(u)\right|_2^3 \\[10pt] = {} &\sin(3)-\sin(2)=2\cos\left(\frac{5}{2}\right) \sin\left(\frac{1}{2}\right)\approx -0.768 \end{align}