Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
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How to use it?
- Integral of d{x}:
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Integral of sin^4x/cos^2x
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Integral of (5x-4)^4
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Integral of sqrt(6x-1)
- Integral of 1/shx
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Identical expressions
- sin^4x/cos^2x
- sinus of to the power of 4x divide by co sinus of e of squared x
- sin4x/cos2x
- sin⁴x/cos²x
- sin to the power of 4x/cos to the power of 2x
- sin^4x divide by cos^2x
- sin^4x/cos^2xdx
Integral of sin^4x/cos^2x dx
The solution
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1 / | | 4 | sin (x) | ------- dx | 2 | cos (x) | / 0
$$\int\limits_{0}^{1} \frac{\sin^{4}{\left(x \right)}}{\cos^{2}{\left(x \right)}}\, dx$$
Integral(sin(x)^4/(cos(x)^2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 4 3 | sin (x) 3*x sin (x) 3*cos(x)*sin(x) | ------- dx = C - --- + ------- + --------------- | 2 2 cos(x) 2 | cos (x) | /
$${{\tan x}\over{2\,\tan ^2x+2}}+\tan x-{{3\,x}\over{2}}$$
The graph
The answer
[src]
3 3 sin (1) 3*cos(1)*sin(1) - - + ------- + --------------- 2 cos(1) 2
$${\it \%a}$$
=
=
3 3 sin (1) 3*cos(1)*sin(1) - - + ------- + --------------- 2 cos(1) 2
$$- \frac{3}{2} + \frac{3 \sin{\left(1 \right)} \cos{\left(1 \right)}}{2} + \frac{\sin^{3}{\left(1 \right)}}{\cos{\left(1 \right)}}$$
The graph
Use the examples entering the upper and lower limits of integration.