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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/(xlog(x))
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Integral of x^3+x
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Integral of sin(x)/cos^4(x)
- Integral of 12x^2dx
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Identical expressions
- sin(x)/cos^ four (x)
- sinus of (x) divide by co sinus of e of to the power of 4(x)
- sinus of (x) divide by co sinus of e of to the power of four (x)
- sin(x)/cos4(x)
- sinx/cos4x
- sin(x)/cos⁴(x)
- sinx/cos^4x
- sin(x) divide by cos^4(x)
- sin(x)/cos^4(x)dx
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Similar expressions
- sinx/cos^4(x)
Integral of sin(x)/cos^4(x) dx
The solution
You have entered
[src]
1 / | | sin(x) | ------- dx | 4 | cos (x) | / 0
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)}}{\cos^{4}{\left(x \right)}}\, dx$$
Integral(sin(x)/cos(x)^4, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | sin(x) 1 | ------- dx = C + --------- | 4 3 | cos (x) 3*cos (x) | /
$$\int \frac{\sin{\left(x \right)}}{\cos^{4}{\left(x \right)}}\, dx = C + \frac{1}{3 \cos^{3}{\left(x \right)}}$$
The graph
The answer
[src]
1 1
- - + ---------
3 3
3*cos (1)
$$- \frac{1}{3} + \frac{1}{3 \cos^{3}{\left(1 \right)}}$$
=
=
1 1
- - + ---------
3 3
3*cos (1)
$$- \frac{1}{3} + \frac{1}{3 \cos^{3}{\left(1 \right)}}$$
-1/3 + 1/(3*cos(1)^3)
The graph
Use the examples entering the upper and lower limits of integration.