Mathematics

# $\int\limits_0^1 x \sqrt {\frac{{1 - {x^2}}}{{1 + {x^2}}}dx}$

$\frac{\pi }{4} - \frac{1}{2}$

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Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 86

#### Realted Questions

Q1 Single Correct Medium
Solve $\displaystyle\int {\dfrac{{{e^x}(1 + x)}}{{{{\cos }^2}({e^x}x)}}} dx$ equals
• A. $- \cot (e{x^x}) + C$
• B. $\tan ({e^x}) + C$
• C. $\cot (e{x^x}) + C$
• D. $\tan (x{e^x}) + C$

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Medium
Integrate the function    $x^3e^x$

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Medium
$\displaystyle \int \frac{1}{\cos ^{2}x\left ( 1-\tan x \right )^{2}}dx.$
• A. $\displaystyle \frac{1}{1+\tan x}.$
• B. $\displaystyle \frac{1}{\tan x}.$
• C. $\displaystyle \frac{1}{1-\cot x}.$
• D. $\displaystyle \frac{1}{1-\tan x}.$

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
Evaluate: $\int _{ -1 }^{ 1 }{ { e }^{ x } } dx$

$\displaystyle\int \left(e^x\right)^2 e^x dx$ is equal to