Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
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How to use it?
- Integral of d{x}:
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Integral of cotx
- Integral of xlnxdx
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Integral of tan⁵x
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Integral of ln2x
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Identical expressions
- cos^- two (x/ three)
- co sinus of e of to the power of minus 2(x divide by 3)
- co sinus of e of to the power of minus two (x divide by three)
- cos-2(x/3)
- cos-2x/3
- cos^-2x/3
- cos^-2(x divide by 3)
- cos^-2(x/3)dx
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Similar expressions
- cos^+2(x/3)
Integral of cos^-2(x/3) dx
The solution
You have entered
[src]
3*pi ---- 4 / | | 1 | ------- dx | 2/x\ | cos |-| | \3/ | / 0
$$\int\limits_{0}^{\frac{3 \pi}{4}} \frac{1}{\cos^{2}{\left(\frac{x}{3} \right)}}\, dx$$
Integral(cos(x/3)^(-2), (x, 0, 3*pi/4))
The answer (Indefinite)
[src]
/ /x\ | 3*sin|-| | 1 \3/ | ------- dx = C + -------- | 2/x\ /x\ | cos |-| cos|-| | \3/ \3/ | /
$$\int \frac{1}{\cos^{2}{\left(\frac{x}{3} \right)}}\, dx = C + \frac{3 \sin{\left(\frac{x}{3} \right)}}{\cos{\left(\frac{x}{3} \right)}}$$
The graph
Use the examples entering the upper and lower limits of integration.