Mister Exam
Other calculators
- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
-
How to use it?
- Integral of d{x}:
-
Integral of x*exp(-4*x)
-
Integral of 1/(x^2-2*x)
-
Integral of x^3*ln(2x)
-
Integral of x(1+x)^1/2
-
Identical expressions
- ln(x^ two -x+ two)
- ln(x squared minus x plus 2)
- ln(x to the power of two minus x plus two)
- ln(x2-x+2)
- lnx2-x+2
- ln(x²-x+2)
- ln(x to the power of 2-x+2)
- lnx^2-x+2
- ln(x^2-x+2)dx
-
Similar expressions
- ln(x^2-x-2)
- ln(x^2+x+2)
Integral of ln(x^2-x+2) dx
The solution
You have entered
[src]
1 / | | / 2 \ | log\x - x + 2/ dx | / 0
$$\int\limits_{0}^{1} \log{\left(\left(x^{2} - x\right) + 2 \right)}\, dx$$
Integral(log(x^2 - x + 2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | / 2 \ / ___ \ | / 2 \ log\2 + x - x/ / 2 \ ___ |2*\/ 7 *(-1/2 + x)| | log\x - x + 2/ dx = C - 2*x - --------------- + x*log\x - x + 2/ + \/ 7 *atan|------------------| | 2 \ 7 / /
$$\int \log{\left(\left(x^{2} - x\right) + 2 \right)}\, dx = C + x \log{\left(\left(x^{2} - x\right) + 2 \right)} - 2 x - \frac{\log{\left(x^{2} - x + 2 \right)}}{2} + \sqrt{7} \operatorname{atan}{\left(\frac{2 \sqrt{7} \left(x - \frac{1}{2}\right)}{7} \right)}$$
The graph
The answer
[src]
/ ___\
___ |\/ 7 |
-2 + 2*\/ 7 *atan|-----| + log(2)
\ 7 /
$$-2 + \log{\left(2 \right)} + 2 \sqrt{7} \operatorname{atan}{\left(\frac{\sqrt{7}}{7} \right)}$$
=
=
/ ___\
___ |\/ 7 |
-2 + 2*\/ 7 *atan|-----| + log(2)
\ 7 /
$$-2 + \log{\left(2 \right)} + 2 \sqrt{7} \operatorname{atan}{\left(\frac{\sqrt{7}}{7} \right)}$$
-2 + 2*sqrt(7)*atan(sqrt(7)/7) + log(2)
The graph
Use the examples entering the upper and lower limits of integration.