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 1/5x
-
Integral of (sec(x))^3
- Integral of lnx/sqrtx
-
Integral of x^2*e^(x^3)
-
Identical expressions
- (3cos(5x))^ two
- (3 co sinus of e of (5x)) squared
- (3 co sinus of e of (5x)) to the power of two
- (3cos(5x))2
- 3cos5x2
- (3cos(5x))²
- (3cos(5x)) to the power of 2
- 3cos5x^2
- (3cos(5x))^2dx
Integral of (3cos(5x))^2 dx
The solution
You have entered
[src]
pi / | | 2 | (3*cos(5*x)) dx | / pi -- 2
$$\int\limits_{\frac{\pi}{2}}^{\pi} \left(3 \cos{\left(5 x \right)}\right)^{2}\, dx$$
Integral((3*cos(5*x))^2, (x, pi/2, pi))
The answer (Indefinite)
[src]
/ | 2 2 | 2 9*x*cos (5*x) 9*x*sin (5*x) 9*cos(5*x)*sin(5*x) | (3*cos(5*x)) dx = C + ------------- + ------------- + ------------------- | 2 2 10 /
$${{9\,\left({{\sin \left(10\,x\right)}\over{2}}+5\,x\right)}\over{10
}}$$
The graph
The answer
[src]
9*pi ---- 4
$$9\,\left({{\sin \left(10\,\pi\right)+10\,\pi}\over{20}}-{{\sin
\left(5\,\pi\right)+5\,\pi}\over{20}}\right)$$
=
=
9*pi ---- 4
$$\frac{9 \pi}{4}$$
The graph
Use the examples entering the upper and lower limits of integration.