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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
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How to use it?
- Integral of d{x}:
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Integral of x^4/(1+x^2)
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Integral of x^5/(x^2+1)
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Integral of (tan(x))^2/(cos(x))^2
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Integral of sqrt(x^2+1)*dx/x
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Identical expressions
- (tan(x))^ two /(cos(x))^ two
- ( tangent of (x)) squared divide by ( co sinus of e of (x)) squared
- ( tangent of (x)) to the power of two divide by ( co sinus of e of (x)) to the power of two
- (tan(x))2/(cos(x))2
- tanx2/cosx2
- (tan(x))²/(cos(x))²
- (tan(x)) to the power of 2/(cos(x)) to the power of 2
- tanx^2/cosx^2
- (tan(x))^2 divide by (cos(x))^2
- (tan(x))^2/(cos(x))^2dx
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Similar expressions
- (tan(x))^2/(cosx)^2
Integral of (tan(x))^2/(cos(x))^2 dx
The solution
You have entered
[src]
1 / | | 2 | tan (x) | ------- dx | 2 | cos (x) | / 0
$$\int\limits_{0}^{1} \frac{\tan^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}}\, dx$$
Integral(tan(x)^2/cos(x)^2, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2 | tan (x) sin(x) sin(x) | ------- dx = C - -------- + --------- | 2 3*cos(x) 3 | cos (x) 3*cos (x) | /
$$\int \frac{\tan^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}}\, dx = C - \frac{\sin{\left(x \right)}}{3 \cos{\left(x \right)}} + \frac{\sin{\left(x \right)}}{3 \cos^{3}{\left(x \right)}}$$
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.