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 (4-x^2)^(1/2)
-
Integral of (x+2)e^x
-
Integral of 1/cos^2(x)
-
Integral of x^3/(x^2+1)
-
Identical expressions
- e^(5x)*cos(4x)
- e to the power of (5x) multiply by co sinus of e of (4x)
- e(5x)*cos(4x)
- e5x*cos4x
- e^(5x)cos(4x)
- e(5x)cos(4x)
- e5xcos4x
- e^5xcos4x
- e^(5x)*cos(4x)dx
Integral of e^(5x)*cos(4x) dx
The solution
You have entered
[src]
pi -- 8 / | | 5*x | E *cos(4*x) dx | / pi -- 4
$$\int\limits_{\frac{\pi}{4}}^{\frac{\pi}{8}} e^{5 x} \cos{\left(4 x \right)}\, dx$$
Integral(E^(5*x)*cos(4*x), (x, pi/4, pi/8))
The answer (Indefinite)
[src]
/ | 5*x 5*x | 5*x 4*e *sin(4*x) 5*cos(4*x)*e | E *cos(4*x) dx = C + --------------- + --------------- | 41 41 /
$$\int e^{5 x} \cos{\left(4 x \right)}\, dx = C + \frac{4 e^{5 x} \sin{\left(4 x \right)}}{41} + \frac{5 e^{5 x} \cos{\left(4 x \right)}}{41}$$
The graph
The answer
[src]
5*pi 5*pi
---- ----
8 4
4*e 5*e
------- + -------
41 41
$$\frac{4 e^{\frac{5 \pi}{8}}}{41} + \frac{5 e^{\frac{5 \pi}{4}}}{41}$$
=
=
5*pi 5*pi
---- ----
8 4
4*e 5*e
------- + -------
41 41
$$\frac{4 e^{\frac{5 \pi}{8}}}{41} + \frac{5 e^{\frac{5 \pi}{4}}}{41}$$
4*exp(5*pi/8)/41 + 5*exp(5*pi/4)/41
Use the examples entering the upper and lower limits of integration.