Question

Evaluate the following integral using the Fundamental Theorem of Calculus. Explain why the result is consistent with the figure.\\ $\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} (\sin x + \cos x) \, dx$\\ $\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} (\sin x + \cos x) \, dx = $\boxed{}$ (Type an exact answer.)\\The result is consistent with the figure because the shaded area that lies below the x-axis appears to be$\boxed{}$ the shaded area that lies above the x-axis, which means it makes sense for the value of the integral to be$\boxed{}$

          Evaluate the following integral using the Fundamental Theorem of Calculus. Explain why the result is consistent with the figure.\\
$\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} (\sin x + \cos x) \, dx$\\
$\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} (\sin x + \cos x) \, dx = $\boxed{}$ (Type an exact answer.)\\The result is consistent with the figure because the shaded area that lies below the x-axis appears to be$\boxed{}$ the shaded area that lies above the x-axis, which means it makes sense for the value of the integral to be$\boxed{}$

Evaluate the following integral using the Fundamental Theorem of Calculus. Explain why the result is consistent with the figure.

∫-(π)/(4)^(π)/(4) (sin x + cos x) dx

∫-(π)/(4)^(π)/(4) (sin x + cos x) dx =(Type an exact answer.)
The result is consistent with the figure because the shaded area that lies below the x-axis appears to bethe shaded area that lies above the x-axis, which means it makes sense for the value of the integral to be

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