Mathematics

# $I =\int \frac{ ( x + x^{} + x^{}) }{ x(1+x^{}) } dx$equals to

(a)$\frac{3}{2} x^{} + 6 \ tan^{-1} ( x^{} ) + c$

Its FREE, you're just one step away

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

#### Realted Questions

Q1 Subjective Medium
$\int {\frac{1}{{(x - 1)(x - 2)}}dx}$

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Medium
Evaluate the following integrals:
$\displaystyle \int { \cfrac { 1 }{ { x }^{ 3 } } } \sin { \left( \log { x } \right) } dx\quad$

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Medium
$\int x^{\dfrac{13}{2}}.(1+x^{\dfrac{5}{2}})^{\dfrac{1}{2}}dx$
• A. $\dfrac{2}{5}(\dfrac{(1+x^\cfrac32)^3}{2}+\dfrac{(1+x^\cfrac52)}{2}-\dfrac{(1+x^\cfrac52)^2}{2})$
• B. $\dfrac{2}{5}(\dfrac{(1+x^\cfrac72)^3}{2}+\dfrac{(1+x^\cfrac52)}{2}-\dfrac{(1+x^\cfrac52)^2}{2})$
• C. $\dfrac{2}{5}(\dfrac{(1+x^\cfrac92)^3}{2}+\dfrac{(1+x^\cfrac52)}{2}-\dfrac{(1+x^\cfrac52)^2}{2})$
• D. $\dfrac{2}{5}(\dfrac{(1+x^\cfrac52)^3}{2}+\dfrac{(1+x^\cfrac52)}{2}-\dfrac{(1+x^\cfrac52)^2}{2})$

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
Solve : $(x^{2} - 1)\dfrac{dy}{dx} + 2xy = \dfrac{1}{x^{2} - 1}$

Evaluate $\displaystyle\int e^x\left ( \frac{1 + \sin\, x}{1 + \cos\, x} \right ) dx$