Mathematics

# Evaluate $\displaystyle \int {\frac{1}{{{x^4} + 1}}dx}$

##### SOLUTION

Its FREE, you're just one step away

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

#### Realted Questions

Q1 Subjective Medium
Evaluate: $\displaystyle\int\frac{xe^x}{(x+1)^2}dx.$

1 Verified Answer | Published on 17th 09, 2020

Q2 Single Correct Medium
If $\int { \dfrac { 4{ e }^{ x }+6{ e }^{ -x } }{ 9{ e }^{ x }-4{ e }^{ -x } } =Ax+B\log _{ e }{ \left( 9{ e }^{ 2x }-4 \right) +C } }$, then the value of $A, B$ and $C$ are
• A. $-\dfrac {1}{2},\dfrac {3}{2}$ and $C=0$
• B. $\dfrac {-3}{2},\dfrac {33}{2}$ and $C=1$
• C. $None\ of\ these$
• D. $\dfrac {-3}{2},\dfrac {35}{36}$ and $C$ is a constant

1 Verified Answer | Published on 17th 09, 2020

Q3 Subjective Medium
Evaluate $\displaystyle\int^2_1\dfrac{(x+3)}{x(x+2)}dx$.

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Hard
Solve :
$\int \dfrac{1}{x}\sqrt{\dfrac{x+1}{x+1}}dx$

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.