Question
Find the value of $\int \frac{1}{x-\sqrt{x}} d x$.

Answer

self

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

What is the principal value of $\cos^{-1}\Big(\cos\frac{2\pi}{3}\Big)+\sin^{-1}\Big(\sin\frac{2\pi}{3}\Big)$
Write the number of all possible matrices of order $2\times 2$ with each entry $1, 2$ or $3.$
Find the integral of the function $\frac{{{{\sin }^2}x}}{{1 + \cos x}}$
Find the derivative of the function given by $f(x) = (1 + x) (1 + x^2) (1 + x^4) (1 + x^8)$ and hence find f ′(1).
Show that $\left[\begin{array}{ccc} {1} & {2} & {3} \\ {0} & {1} & {0} \\ {1} & {1} & {0} \end{array}\right]\left[\begin{array}{rrr} {-1} & {1} & {0} \\ {0} & {-1} & {1} \\ {2} & {3} & {4} \end{array}\right] \neq\left[\begin{array}{rrr} {-1} & {1} & {0} \\ {0} & {-1} & {1} \\ {2} & {3} & {4} \end{array}\right]\left[\begin{array}{lll} {1} & {2} & {3} \\ {0} & {1} & {0} \\ {1} & {1} & {0} \end{array}\right]$
A small firm manufactures necklaces and bracelets. The total number of necklaces and bracelets that it can handle per day is at most 24. It takes one hour to make a bracelet and half an hour to make a necklace. The maximum number of hours available per day is 16. If the profit on a necklace is ₹ 100 and that on a bracelet is ₹ 300. Formulate on L.P.P. for finding how many of each should be produced daily to maximize the profit? It is being given that at least one of each must be produced.
Find the principal values:
$\text{cosec}^{-1}(2)$
Write the value of $\sin^{-1}\Big(\frac{1}{3}\Big)-\cos^{-1}\Big(-\frac{1}{3}\Big).$
Write the value of $\big[\hat{\text{i}}+\hat{\text{j}}\hat{\text{j}}+\hat{\text{k}}\hat{\text{k}}+\hat{\text{i}}\big].$
Find the general solution of the differential equation $\frac{d y}{d x}+y=1~(y \neq 1)$