Review 2: Now You Try III

Compute:

1. $LaTeX: \int_0^{\pi/2} \cos x\; dx$ $\int_0^{\pi/2} \cos x\; dx$

Solution:

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$LaTeX: \int_0^{\frac{\pi}{2}} \cos x\; dx= \sin x \Big |_0^{\frac{\pi}{2}}=\sin(\frac{\pi}{2})-\sin(0)=1.$

$\int_0^{\frac{\pi}{2}} \cos x\; dx= \sin x \Big |_0^{\frac{\pi}{2}}=\sin(\frac{\pi}{2})-\sin(0)=1.$

2. $LaTeX: \int_0^{t} \cos x\; dx$ $\int_0^{t} \cos x\; dx$

Solution:

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$LaTeX: \int_0^{t} \cos x\; dx= \sin x \Big |_0^{t}=\sin(t)-\sin(0)=\sin(t).$

$\int_0^{t} \cos x\; dx= \sin x \Big |_0^{t}=\sin(t)-\sin(0)=\sin(t).$