Mathematics

# $\int \dfrac{x^{3}}{(1+x^{2})^{3}}dx=$

$\dfrac{1}{5}$

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

#### Realted Questions

Q1 Subjective Medium
Solve
$\int { { \left( \dfrac { x-1 }{ x+1 } \right) }^{ 4 }dx= }$

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Medium
$I = \int\limits_0^1 {\frac{{\left( {1 - x} \right)dx}}{{\left( {1 + x} \right)}}}$

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Medium
$\displaystyle \int_{0}^{\pi/2}{(\sin x-\cos x).\log(\sin x+\cos x)dx}$=
• A. $\dfrac{\pi}{2}$
• B. $0$
• C. $2$
• D. $\dfrac{\pi}{4}$

1 Verified Answer | Published on 17th 09, 2020

Q4 Single Correct Medium
Evaluate : $\displaystyle\int^{\sqrt{2}}_0\sqrt{2-x^2}dx$
• A. $\pi$
• B. $2\pi$
• C. None of these
• D. $\dfrac{\pi}{2}$

Let $n \space\epsilon \space N$ & the A.M., G.M., H.M. & the root mean square of $n$ numbers $2n+1, 2n+2, ...,$ up to $n^{th}$ number are $A_{n}$, $G_{n}$, $H_{n}$ and $R_{n}$ respectively.