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 (-1)/x^2
-
Integral of (1-x^2)^(1/2)
-
Integral of xarctanx
-
Integral of x^8
-
Identical expressions
- two ^(-x)*arctg2^x
- 2 to the power of ( minus x) multiply by arctg2 to the power of x
- two to the power of ( minus x) multiply by arctg2 to the power of x
- 2(-x)*arctg2x
- 2-x*arctg2x
- 2^(-x)arctg2^x
- 2(-x)arctg2x
- 2-xarctg2x
- 2^-xarctg2^x
- 2^(-x)*arctg2^xdx
-
Similar expressions
- 2^(x)*arctg2^x
Integral of 2^(-x)*arctg2^x dx
The solution
You have entered
[src]
1 / | | -x x | 2 *atan (2) dx | / 0
$$\int\limits_{0}^{1} 2^{- x} \operatorname{atan}^{x}{\left(2 \right)}\, dx$$
Integral(2^(-x)*atan(2)^x, (x, 0, 1))
The answer (Indefinite)
[src]
/ | x | -x x atan (2) | 2 *atan (2) dx = C - --------------------------- | x x / 2 *log(2) - 2 *log(atan(2))
$$\int 2^{- x} \operatorname{atan}^{x}{\left(2 \right)}\, dx = C - \frac{\operatorname{atan}^{x}{\left(2 \right)}}{- 2^{x} \log{\left(\operatorname{atan}{\left(2 \right)} \right)} + 2^{x} \log{\left(2 \right)}}$$
The graph
The answer
[src]
1 atan(2) ---------------------- - -------------------------- -log(atan(2)) + log(2) -2*log(atan(2)) + 2*log(2)
$$- \frac{\operatorname{atan}{\left(2 \right)}}{- 2 \log{\left(\operatorname{atan}{\left(2 \right)} \right)} + 2 \log{\left(2 \right)}} + \frac{1}{- \log{\left(\operatorname{atan}{\left(2 \right)} \right)} + \log{\left(2 \right)}}$$
=
=
1 atan(2) ---------------------- - -------------------------- -log(atan(2)) + log(2) -2*log(atan(2)) + 2*log(2)
$$- \frac{\operatorname{atan}{\left(2 \right)}}{- 2 \log{\left(\operatorname{atan}{\left(2 \right)} \right)} + 2 \log{\left(2 \right)}} + \frac{1}{- \log{\left(\operatorname{atan}{\left(2 \right)} \right)} + \log{\left(2 \right)}}$$
1/(-log(atan(2)) + log(2)) - atan(2)/(-2*log(atan(2)) + 2*log(2))
Use the examples entering the upper and lower limits of integration.