Advertisements
Advertisements
Question
`int 1/(sqrtx + sqrt(x^3))` dx = ______.
Options
`2 tan^(-1) (sqrtx) + "c"`
tan−1 (2x − 1) + c
`2 tan sqrtx + "c"`
2 tan−1 x + c
Solution
`int 1/(sqrtx + sqrt(x^3))` dx = `underlinebb(2 tan^(-1) (sqrtx) + c)`.
APPEARS IN
RELATED QUESTIONS
`int sqrt(tan x)/(sin x cos x)` dx = _______________
`int (cos 2x)/(sin x + cos x)^2 "d"x`
Let f(x) = `inte^x (x - 1)(x - 2)dx,` then f(x) decreases in the interval ______
If `int1/(x + x^5)dx = f(x) + c`, then `intx^4/(x + x^5)dx` = ______
`intlogx/(1 + logx)^2dx` = ______
The general solution of `(1 + e^{x/y})dx + e^{x/y}(1 - x/y)dy = 0` is ______
Let I be the purchase value of equipment and V(t) be the value after it has been used for t years. The value V(t) depreciates at a rate given by the differential equation `(dV)/dt` = -k(T - t), where k > 0 is a constant and T is the total life in years of the equipment. Then the scrap value V(T) of the equipment is ______
If I = `int 1/(2p) sqrt((p - 1)/(p + 1))dp` = f(p) + c, then f(p) is equal to ______.
`int_0^1 1/((x^2 + 16)(x^2 + 25))dx` = ______.