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^3*exp(x^2)
- Integral of x^2*a^x
-
Integral of sec³x
-
Integral of x*3^x
-
Identical expressions
- sin^2x/cos^4x
- sinus of squared x divide by co sinus of e of to the power of 4x
- sin2x/cos4x
- sin²x/cos⁴x
- sin to the power of 2x/cos to the power of 4x
- sin^2x divide by cos^4x
- sin^2x/cos^4xdx
Integral of sin^2x/cos^4x dx
The solution
You have entered
[src]
1 / | | 2 | sin (x) | ------- dx | 4 | cos (x) | / 0
$$\int\limits_{0}^{1} \frac{\sin^{2}{\left(x \right)}}{\cos^{4}{\left(x \right)}}\, dx$$
Integral(sin(x)^2/cos(x)^4, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2 | sin (x) sin(x) sin(x) | ------- dx = C - -------- + --------- | 4 3*cos(x) 3 | cos (x) 3*cos (x) | /
$$\int \frac{\sin^{2}{\left(x \right)}}{\cos^{4}{\left(x \right)}}\, dx = C - \frac{\sin{\left(x \right)}}{3 \cos{\left(x \right)}} + \frac{\sin{\left(x \right)}}{3 \cos^{3}{\left(x \right)}}$$
The graph
The answer
[src]
sin(1) sin(1)
- -------- + ---------
3*cos(1) 3
3*cos (1)
$$- \frac{\sin{\left(1 \right)}}{3 \cos{\left(1 \right)}} + \frac{\sin{\left(1 \right)}}{3 \cos^{3}{\left(1 \right)}}$$
=
=
sin(1) sin(1)
- -------- + ---------
3*cos(1) 3
3*cos (1)
$$- \frac{\sin{\left(1 \right)}}{3 \cos{\left(1 \right)}} + \frac{\sin{\left(1 \right)}}{3 \cos^{3}{\left(1 \right)}}$$
-sin(1)/(3*cos(1)) + sin(1)/(3*cos(1)^3)
The graph
Use the examples entering the upper and lower limits of integration.