Question
Evaluate: $\int \frac{e^x}{\left(1+e^x\right)\left(2+e^x\right)} d x$

Answer

coming soon

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

Evaluate the following:

$\int x \sin 2 x \cos 5 x d x$

Find the volume of the parallelopiped whose coterminous edges are represented by the vectore:
$\vec{\text{a}}=\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}},\vec{\text{b}}=\hat{\text{i}}-\hat{\text{j}}+\hat{\text{k}},\vec{\text{c}}=\hat{\text{i}}+2\hat{\text{j}}-\hat{\text{k}}$
Find the inverse of each of the following matrices (if they exist) : $\left[\begin{array}{ll}2 & -3 \\ 5 & 7\end{array}\right]$
Without using the derivative, show that the function f(x) = |x| is
  1. Strictly increasing in $(0,\infty)$
  2. Strictly decreasing in $(-\infty,0)$
Find the equation of a curve passing through the point $(0,2)$, given that the sum of the coordinates of any point on the curve exceeds the slope of the tangent to the curve at the point by $5$ .
If A, B and C are independent events such that P(A) = P(B) = P(C) = p, then find the probability of occurrence of at least two of A, B and C.
If $\text{y}=\text{e}^{-\text{x}}\cos\text{x},$ show that $\frac{\text{d}^2\text{y}}{\text{dx}^2}=2\text{e}^{-\text{x}}\sin\text{x}.$
Integrate the following functions w.r.t x:

$\frac{\sin x+2 \cos x}{3 \sin x+4 \cos x}$

Show that $\text{Ax}^2+\text{By}^2=1$ is a solution of the differential equation $\text{x}\Big\{\text{y}=\text{x}\frac{\text{d}^2\text{y}}{\text{dx}^2}+\Big(\frac{\text{dx}}{\text{dy}}\Big)^2\Big\}=\text{y}\frac{\text{dy}}{\text{dx}}.$
A particle moves along the curve $y=x^3$. Find the points on the curve at which the $y$-coordinate changes three times more rapidly than the $x$-coordinate.