Mister Exam

Other calculators

  • How to use it?

  • Integral of d{x}:
  • Integral of -3/x Integral of -3/x
  • Integral of x^2/4 Integral of x^2/4
  • Integral of x^2*e^(x^3) Integral of x^2*e^(x^3)
  • Integral of x^(-3/4) Integral of x^(-3/4)

  • Identical expressions

  • e^x*dx*dx/(e^(two *x)+ one)
  • e to the power of x multiply by dx multiply by dx divide by (e to the power of (2 multiply by x) plus 1)
  • e to the power of x multiply by dx multiply by dx divide by (e to the power of (two multiply by x) plus one)
  • ex*dx*dx/(e(2*x)+1)
  • ex*dx*dx/e2*x+1
  • e^xdxdx/(e^(2x)+1)
  • exdxdx/(e(2x)+1)
  • exdxdx/e2x+1
  • e^xdxdx/e^2x+1
  • e^x*dx*dx divide by (e^(2*x)+1)

  • Similar expressions

  • e^x*dx*dx/(e^(2*x)-1)
Solving integrals/ e^x*dx*dx/(e^(2*x)+1)

Integral of e^x*dx*dx/(e^(2*x)+1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |      x      
 |     E       
 |  -------- dx
 |   2*x       
 |  E    + 1   
 |             
/              
0
$$\int\limits_{0}^{1} \frac{e^{x}}{e^{2 x} + 1}\, dx$$ 
Integral(E^x/(E^(2*x) + 1), (x, 0, 1))
The answer (Indefinite) [src] 
  /                          
 |                           
 |     x                     
 |    E                  / x\
 | -------- dx = C + atan\E /
 |  2*x                      
 | E    + 1                  
 |                           
/
$$\int \frac{e^{x}}{e^{2 x} + 1}\, dx = C + \operatorname{atan}{\left(e^{x} \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
         /   2                         \          /   2                         \
- RootSum\4*z  + 1, i -> i*log(1 + 2*i)/ + RootSum\4*z  + 1, i -> i*log(E + 2*i)/
$$- \operatorname{RootSum} {\left(4 z^{2} + 1, \left( i \mapsto i \log{\left(2 i + 1 \right)} \right)\right)} + \operatorname{RootSum} {\left(4 z^{2} + 1, \left( i \mapsto i \log{\left(2 i + e \right)} \right)\right)}$$ 
=
= 
         /   2                         \          /   2                         \
- RootSum\4*z  + 1, i -> i*log(1 + 2*i)/ + RootSum\4*z  + 1, i -> i*log(E + 2*i)/
$$- \operatorname{RootSum} {\left(4 z^{2} + 1, \left( i \mapsto i \log{\left(2 i + 1 \right)} \right)\right)} + \operatorname{RootSum} {\left(4 z^{2} + 1, \left( i \mapsto i \log{\left(2 i + e \right)} \right)\right)}$$ 
-RootSum(4*_z^2 + 1, Lambda(_i, _i*log(1 + 2*_i))) + RootSum(4*_z^2 + 1, Lambda(_i, _i*log(E + 2*_i)))
Numerical answer [src] 
0.432884741619829
0.432884741619829

    Use the examples entering the upper and lower limits of integration.

    © Mister Exam – Calculator