Mathematics

# The value of $\int \sqrt{\dfrac{e^x -1}{e^x +1}} dx$ is equal to

$ln (e^x +\sqrt{e^{2x} -1}) -sec^{-1} (e^x) +c$

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Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 84

#### Realted Questions

Q1 Subjective Medium
Solve:
$\int {\dfrac{{2t\ dt}}{{3t + 4}}}$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q2 Single Correct Hard
Eavaluate :  $\displaystyle \int \displaystyle x\tan^{-1}x$
• A. $\displaystyle \frac{1}{2}(x^{2}+1)\tan ^{-1}x-\frac{1}{2}x+C$
• B. $\displaystyle \frac{1}{2}x^{2}\tan ^{-1}x-\frac{1}{2}x+ C$
• C. $\displaystyle \frac{1}{2}x^{2}\tan ^{-1}x+\frac{1}{2}x+C$
• D. none of these

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Medium
$\int \dfrac{(x+1)^{2}}{x(x^{2}+1)} dx=$
• A. $\log_{e}x+2\tan^{-1}x+c$
• B. $\log_{e} \left(\dfrac{1}{x^{2}+1}\right)+e$
• C. $\log_{e}x(x^{2}+1)+e$
• D. $\log_{e}x+c$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
$\displaystyle \int \dfrac{x}{\sqrt{x+2}}\ dx$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

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

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020