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Integrals

Short Answer Type

Evaluate $integral from 1 to 2 of straight x space dx$ as the limit of a sum.

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2. Evaluate the following definite integrals as limit of a sum.

integral from straight a to straight b of straight x space dx

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3. Evaluate the following definite integral as limit of a sum.

integral subscript 1 superscript 2 xdx

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4. Evaluate the following definite integral as limit of a sum.

integral subscript 0 superscript 5 left parenthesis straight x minus 1 right parenthesis dx

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5. Evaluate the following integral as the limit of a sum:

integral subscript 1 superscript 3 left parenthesis 2 straight x plus 3 right parenthesis dx

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6. Evaluate

integral subscript straight a superscript straight b straight x squared space dx

as the limit of sum.

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Long Answer Type

Evaluate $integral subscript 1 superscript 3 straight x squared space dx$ as the limit of a sum.

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Evaluate $integral subscript 1 superscript 4 left parenthesis straight x squared minus straight x right parenthesis space dx$ as the limit of a sum.

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Evaluate $integral subscript 1 superscript 2 space left parenthesis 3 straight x squared plus 5 straight x right parenthesis space dx$ as limit of sums.

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10.

Evaluate $integral subscript 1 superscript 3 space left parenthesis 3 straight x squared plus 2 straight x right parenthesis space dx$ as the limit of sums.

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