Mathematics

# Let $\int { \dfrac { dx }{ x{ }^{ 2008 }+x } } =\dfrac { 1 }{ r } \ln(\dfrac { x{ }^{ q } }{ 1+{ x }^{ p } } )+c$ , where p,q,r $\in$ N and need not be distinct , then the value of $(p+q+r)$ equals

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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:
$\int\dfrac{x^{2}+1}{x^{2}-4x+6}dx$

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Medium
$\displaystyle \int \dfrac{\sin^{2} x \cos^{2} x}{(\sin^{2}x+\cos^{3}x\sin^{2}x+\sin^{3}x\cos^{2}x+\cos^{5}x)^{2}} dx$ is equal to:

1 Verified Answer | Published on 17th 09, 2020

Q3 Subjective Medium
Evaluate $\displaystyle \int_{0}^{2}(3x^2-2)dx$

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Hard
Evaluate:
$\displaystyle\int\dfrac{2x+3}{\sqrt{4x+3}}dx=$

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.