definite-integral

Related Questions

• If the ordinate $x=a$ divides the area bounded by the curve $y=\left( 1+\frac{8}{{{x}^{2}}} \right)\,,$ $x-$axis and the ordinates $x=2,$ $x=4$ into two equal parts, then $a=$

  ---

• The area bounded by the curve $y={{x}^{3}},$ $x-$axis and two ordinates $x=1$ to $x=2$ equal to

  ---

• If $f(t)=\int_{\,-t}^{\,t}{\frac{dx}{1+{{x}^{2}}},}$ then ${f}'(1)$ is

  ---

• $\int_{0}^{\pi /6}{\frac{\sin x}{{{\cos }^{3}}x}\,dx=}$

  ---

• If n is a positive integer and [x] is the greatest integer not exceeding x, then $\int_{0}^{n}{\,\,\{x-[x]\}\,dx}$ equals

  ---