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(Solved): Evaluate the following sum. \[ \sum_{k=1}^{50}\left[(k+2)^{2}-k^{2}\right] \] \[ \sum_{k=1}^{50}\le ...




Evaluate the following sum.
\[
\sum_{k=1}^{50}\left[(k+2)^{2}-k^{2}\right]
\]
\[
\sum_{k=1}^{50}\left[(k+2)^{2}-k^{2}\right]=
Evaluate the integral.
\[
\int_{0}^{\frac{\pi}{3}}(\cos x+\sec x)^{2} d x
\]
\[
\int_{0}^{\frac{\pi}{3}}(\cos x+\sec x)^{2} d
Evaluate the following sum. \[ \sum_{k=1}^{50}\left[(k+2)^{2}-k^{2}\right] \] \[ \sum_{k=1}^{50}\left[(k+2)^{2}-k^{2}\right]= \] (Simplify your answer.) Evaluate the integral. \[ \int_{0}^{\frac{\pi}{3}}(\cos x+\sec x)^{2} d x \] \[ \int_{0}^{\frac{\pi}{3}}(\cos x+\sec x)^{2} d x= \] (Type an exact answer, using \( \pi \) as needed.)


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