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 sin^4x/cos^6x
-
Integral of cosec^5(x)
-
Integral of 2x³
-
Integral of 4sin2x
-
Identical expressions
- sin^4x/cos^6x
- sinus of to the power of 4x divide by co sinus of e of to the power of 6x
- sin4x/cos6x
- sin⁴x/cos⁶x
- sin^4x divide by cos^6x
- sin^4x/cos^6xdx
Integral of sin^4x/cos^6x dx
The solution
You have entered
[src]
1 / | | 4 | sin (x) | ------- dx | 6 | cos (x) | / 0
$$\int\limits_{0}^{1} \frac{\sin^{4}{\left(x \right)}}{\cos^{6}{\left(x \right)}}\, dx$$
The answer (Indefinite)
[src]
/ | | 4 | sin (x) 2*sin(x) sin(x) sin(x) | ------- dx = C - --------- + -------- + --------- | 6 3 5*cos(x) 5 | cos (x) 5*cos (x) 5*cos (x) | /
$${{\tan ^5x}\over{5}}$$
The graph
The answer
[src]
2*sin(1) sin(1) sin(1)
- --------- + -------- + ---------
3 5*cos(1) 5
5*cos (1) 5*cos (1)
$${{\tan ^51}\over{5}}$$
=
=
2*sin(1) sin(1) sin(1)
- --------- + -------- + ---------
3 5*cos(1) 5
5*cos (1) 5*cos (1)
$$- \frac{2 \sin{\left(1 \right)}}{5 \cos^{3}{\left(1 \right)}} + \frac{\sin{\left(1 \right)}}{5 \cos{\left(1 \right)}} + \frac{\sin{\left(1 \right)}}{5 \cos^{5}{\left(1 \right)}}$$
The graph
Use the examples entering the upper and lower limits of integration.