Evaluate each of the following integrals as the limit of sums:
Question: Evaluate each of the following integrals as the limit of sums: $\int_{a}^{b} \cos x d x$ Solution:...
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Question: Evaluate each of the following integrals as the limit of sums: $\int_{1}^{3} e^{-x} d x$ Solution:...
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Question: Evaluate each of the following integrals as the limit of sums: $\int_{0}^{2} e^{x} d x$ Solution:...
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Question: Evaluate each of the following integrals as the limit of sums: $\int_{0}^{1}|3 x-1| d x$ Solution: $=1$...
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Question: Evaluate each of the following integrals as the limit of sums: $\int_{0}^{3}\left(2 x^{2}+3 x+5\right) d x$ Solution:...
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Question: Evaluate each of the following integrals as the limit of sums: $\int_{0}^{2}\left(x^{2}+x\right) d x$ Solution:...
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Question: Evaluate each of the following integrals as the limit of sums: $\int_{2}^{4}\left(x^{2}-3 x+2\right) d x$ Solution:...
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Question: Evaluate each of the following integrals as the limit of sums: $\int_{0}^{2} x^{3} d x$ Solution:...
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Question: Evaluate each of the following integrals as the limit of sums: $\int_{1}^{3}\left(2 x^{2}+5 x\right) d x$ Solution:...
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Question: Evaluate each of the following integrals as the limit of sums: $\int_{1}^{3}\left(x^{2}+5 x\right) d x$ Solution:...
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Question: Evaluate each of the following integrals as the limit of sums: $\int_{1}^{4}\left(3 x^{2}+2 x\right) d x$ Solution:...
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Question: Evaluate each of the following integrals as the limit of sums: $\int_{0}^{3}\left(x^{2}+2 x\right) d x$ Solution:...
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Question: Evaluate each of the following integrals as the limit of sums: $\int_{2}^{5}\left(3 x^{2}-5\right) d x$ Solution:...
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Question: Evaluate each of the following integrals as the limit of sums: $\int_{0}^{3}\left(x^{2}+1\right) d x$ Solution:...
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Question: Evaluate each of the following integrals as the limit of sums: $\int_{1}^{3} x^{2} d x$ Solution: $f(x)$ is continuous in $[1,3]$...
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Question: Evaluate each of the following integrals as the limit of sums: $\int_{1}^{2}(3 x-2) d x$ Solution:...
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Question: Evaluate each of the following integrals as the limit of sums: $\int_{0}^{2}(x+4) d x$ Solution:...
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Question: Prove that $\int_{0}^{4}\{|x|+|x-2|+|x-4| d x\}=20$ Solution:...
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Question: Prove that Let $f(x)= \begin{cases}3 x^{2}+4, \text { when } 0 \leq x \leq 2 \\ 9 x-2, \text { when } 2 \leq x \leq 4\end{cases}$ Show that $\int_{0}^{4} f(x) d x=66$ Solution:...
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Question: Prove that Let $f(x)=\left\{\begin{array}{l}2 x+1, \text { when } 1 \leq x \leq 2 \\ x^{2}+1, \text { when } 2 \leq x \leq 3\end{array}\right.$ Show that $\int_{1}^{3} \mathrm{f}(\mathrm{x}) \mathrm{dx}=\frac{34}{3}$ Solution:...
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Question: Prove that $\int_{-\pi / 4}^{\pi / 4}|\sin x| d x=(2-\sqrt{2})$ Solution:...
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