Mister Exam

Lang:

Other calculators

How to use it?
Integral of d{x}:
Integral of sin²x
Integral of e^5*x*dx
Integral of x^2cos2x
Integral of log(x+sqrt(1+x^2))
Derivative of:
log(x+sqrt(1+x^2))
Graphing y =:
log(x+sqrt(1+x^2))
Limit of the function:
log(x+sqrt(1+x^2))
Identical expressions
log(x+sqrt(one +x^ two))
logarithm of (x plus square root of (1 plus x squared ))
logarithm of (x plus square root of (one plus x to the power of two))
log(x+√(1+x^2))
log(x+sqrt(1+x2))
logx+sqrt1+x2
log(x+sqrt(1+x²))
log(x+sqrt(1+x to the power of 2))
logx+sqrt1+x^2
log(x+sqrt(1+x^2))dx
Similar expressions
log(x-sqrt(1+x^2))
log(x+sqrt(1-x^2))

Integral of log(x+sqrt(1+x^2)) dx

The solution

You have entered [src]

  1                        
  /                        
 |                         
 |     /       ________\   
 |     |      /      2 |   
 |  log\x + \/  1 + x  / dx
 |                         
/                          
0

$$\int\limits_{0}^{1} \log{\left(x + \sqrt{x^{2} + 1} \right)}\, dx$$

Integral(log(x + sqrt(1 + x^2)), (x, 0, 1))

The answer (Indefinite) [src]

  /                                                                  
 |                                                                   
 |    /       ________\             ________        /       ________\
 |    |      /      2 |            /      2         |      /      2 |
 | log\x + \/  1 + x  / dx = C - \/  1 + x   + x*log\x + \/  1 + x  /
 |                                                                   
/

$$\int \log{\left(x + \sqrt{x^{2} + 1} \right)}\, dx = C + x \log{\left(x + \sqrt{x^{2} + 1} \right)} - \sqrt{x^{2} + 1}$$

Simplify

Numerical answer [src]

0.467160024646448

0.467160024646448

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

Other calculators

How to use it?

Identical expressions

Similar expressions

Integral of log(x+sqrt(1+x^2)) dx

Limits of integration:

The graph:

Piecewise:

The solution