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Realted Questions

Q1 Subjective Medium
Evaluate the following integral as limit of sums:$$\displaystyle \int_{a}^{b}x\ dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q2 Subjective Medium
$$\displaystyle \int _{ 1 }^{ 4 }{ \left| { x }^{ 2 }-5x+6 \right| dx } $$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q3 Single Correct Medium
$$\displaystyle \int \frac {dx}{x(x^2+1)}$$ equals
  • A. $$\log|x|+\dfrac {1}{2}\log (x^2+1)+C$$
  • B. $$-\log|x|+\dfrac {1}{2}\log (x^2+1)+C$$
  • C. $$\dfrac {1}{2}\log |x|+\log (x^2+1)+C$$
  • D. $$\log|x|-\dfrac {1}{2}\log (x^2+1)+C$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q4 Subjective Hard
Evaluate:$$\displaystyle\int{\left({e}^{\ln{x}}+\sin{x}\right)\cos{x}dx}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q5 Subjective Easy
Evaluate:
$$ \int_{}^{} {\frac{{ - 1}}{{\sqrt {1 - {x^2}} }}dx} $$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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