Mathematics

Single Correct Medium Published on 17th 09, 2020
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Realted Questions

Q1 Single Correct Medium
$$\int { { \left(\displaystyle  \frac { 1 }{ a } -\displaystyle \frac { 1 }{ x }  \right)  }^{ n } } \displaystyle \frac { 1 }{ { x }^{ 2 } } dx$$
  • A. $$\frac { { \left[ \displaystyle \frac { 1 }{ a } +\displaystyle \frac { 1 }{ x } \right] }^{ n+1 } }{ n+1 } +C$$
  • B. $$\frac { { \left[ \displaystyle \frac { 1 }{ a^2 } -\displaystyle \frac { 1 }{ x^2 } \right] }^{ n+1 } }{ n+1 } +C$$
  • C. None of these
  • D. $$\frac { { \left[ \displaystyle \frac { 1 }{ a } -\displaystyle \frac { 1 }{ x } \right] }^{ n+1 } }{ n+1 } +C$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q2 Subjective Medium
Evaluate the integrals : $$\displaystyle \int \dfrac{x^5}{\sqrt{1+x^3}}dx$$

Asked in: Mathematics - Integrals


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Q3 Single Correct Medium
If $$\smallint \cfrac{{{e^x} - 1}}{{{e^x} + 1}}dx = f\left( x \right) + C$$, then f(x) is equal to 
  • A. $$2\log \left| {{e^x} + 1} \right|$$
  • B. $$\log \left| {{e^{2x}} - 1} \right|$$
  • C. $$\log \left| {{e^{2x}} + 1} \right|$$
  • D. $$e^{x}-2\log \left| {{e^x} + 1} \right|$$

Asked in: Mathematics - Integrals


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Q4 Subjective Medium
$$\displaystyle \int \cfrac{x-1}{\sqrt{x^{2}-1}} \ dx$$

Asked in: Mathematics - Integrals


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Q5 Subjective Medium
Simplify the given logarithmic function:
$$(x^2+1) \log x$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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