Question Text
Question 4 :
What is $\displaystyle \int \dfrac{dx}{x(1 + ln x)^n}$ equal to $(n \neq 1)$ ?
Question 5 :
If a continuous function $f$ satisfies $\displaystyle \int_{0}^{x^{2}}f\left ( t \right )\: dt= x^{2}\left ( 1+x \right )$ then $f\left ( 4 \right )$ is equal to
Question 6 :
$\displaystyle \int \dfrac{1}{\sqrt{x}} \tan^4 \, \sqrt{x} \, \sec^2 \, \sqrt{x} \, dx = $
Question 7 :
If $f\left( \cfrac { 3x-4 }{ 3x+4 } \right) =x+2$, then $\int { f(x) } dx$ is
Question 8 :
$\displaystyle\int { \cfrac { \sqrt { x }  }{ \sqrt { x } -\sqrt [ 3 ]{ x }  }  } dx$ is equal to
