MCQ
$\int \frac{x^3}{x+1} d x=$ _________.
- A$x-\frac{x^2}{2}-\frac{x^3}{3}-\log |1+x|+C$
- B$x+\frac{x^2}{2}-\frac{x^3}{3}-\log |1-x|+ C$
- C$x+\frac{x^2}{2}+\frac{x^3}{3}-\log |1-x|+C$
- D$x-\frac{x^2}{2}+\frac{x^3}{3}-\log |1+x|+C$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
$\sqrt {5\,x\,\, - \,\,6\,\, - \,\,{x^2}} \,\, + \,\,\frac{\pi }{2}\,\,\int\limits_0^x {} $$dz > x \int\limits_0^\pi {} sin^2 x \,dx$ is :
A coin is tossed 10 times. The probability of getting exactly six heads is:
$\frac{512}{513}$
$\frac{105}{512}$
$\frac{100}{153}$
$\text{ }^{10}\text{C}_6$