Important Questions of Integrals Mathematics | Zigya

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 Multiple Choice QuestionsLong Answer Type

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21.

Evaluate the following integrals as the limit of a sum
integral subscript 0 superscript 3 left parenthesis straight x squared plus 2 straight x right parenthesis space dx

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22.

Evaluate the following integrals as the limit of a sum
integral subscript 0 superscript 3 left parenthesis 2 straight x squared plus 3 right parenthesis space dx

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23.

Evaluate integral subscript 2 superscript 3 space straight x cubed space dx as the limit of a sum.

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24. Evaluate
integral subscript straight a superscript straight b space straight e to the power of straight x space dx as limit of sum. 
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25.

Evaluate integral subscript negative 1 end subscript superscript 1 space straight e to the power of straight x space dx as the limit of a sum.

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26.

Evaluate integral subscript 0 superscript 2 straight e to the power of straight x space dx as the limit of a sum.

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27.

Evaluate integral subscript 0 superscript 1 straight e to the power of 2 minus 3 straight x end exponent space dx as a limit of a sum.

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 Multiple Choice QuestionsShort Answer Type

28.

Evaluate integral subscript 0 superscript 3 straight e to the power of straight x space dx as the  limit of sums.

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29.

Evaluate integral subscript 0 superscript 4 left parenthesis straight x plus straight e to the power of 2 straight x end exponent right parenthesis space dx as the limit of a sum.

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30.

Evaluate integral subscript straight a superscript straight b space sinx space dx as the limit of a sum.

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