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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of √(x+4)
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Integral of sin³xcosx
- Integral of (3-sinx)/(cosx+tanx)
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Integral of x^3+x^(1/3)
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Identical expressions
- (three -sinx)/(cosx+tanx)
- (3 minus sinus of x) divide by ( co sinus of e of x plus tangent of x)
- (three minus sinus of x) divide by ( co sinus of e of x plus tangent of x)
- 3-sinx/cosx+tanx
- (3-sinx) divide by (cosx+tanx)
- (3-sinx)/(cosx+tanx)dx
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Similar expressions
- (3+sinx)/(cosx+tanx)
- (3-sinx)/(cosx-tanx)
Integral of (3-sinx)/(cosx+tanx) dx
The solution
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[src]
1 / | | 3 - sin(x) | --------------- dx | cos(x) + tan(x) | / 0
$$\int\limits_{0}^{1} \frac{3 - \sin{\left(x \right)}}{\cos{\left(x \right)} + \tan{\left(x \right)}}\, dx$$
Integral((3 - sin(x))/(cos(x) + tan(x)), (x, 0, 1))
The answer (Indefinite)
[src]
/ / / | | | | 3 - sin(x) | sin(x) | 1 | --------------- dx = C - | --------------- dx + 3* | --------------- dx | cos(x) + tan(x) | cos(x) + tan(x) | cos(x) + tan(x) | | | / / /
$$\int \frac{3 - \sin{\left(x \right)}}{\cos{\left(x \right)} + \tan{\left(x \right)}}\, dx = C - \int \frac{\sin{\left(x \right)}}{\cos{\left(x \right)} + \tan{\left(x \right)}}\, dx + 3 \int \frac{1}{\cos{\left(x \right)} + \tan{\left(x \right)}}\, dx$$
The answer
[src]
1 1
/ /
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| -3 | sin(x)
- | --------------- dx - | --------------- dx
| cos(x) + tan(x) | cos(x) + tan(x)
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/ /
0 0
$$- \int\limits_{0}^{1} \frac{\sin{\left(x \right)}}{\cos{\left(x \right)} + \tan{\left(x \right)}}\, dx - \int\limits_{0}^{1} \left(- \frac{3}{\cos{\left(x \right)} + \tan{\left(x \right)}}\right)\, dx$$
=
=
1 1
/ /
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| -3 | sin(x)
- | --------------- dx - | --------------- dx
| cos(x) + tan(x) | cos(x) + tan(x)
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/ /
0 0
$$- \int\limits_{0}^{1} \frac{\sin{\left(x \right)}}{\cos{\left(x \right)} + \tan{\left(x \right)}}\, dx - \int\limits_{0}^{1} \left(- \frac{3}{\cos{\left(x \right)} + \tan{\left(x \right)}}\right)\, dx$$
-Integral(-3/(cos(x) + tan(x)), (x, 0, 1)) - Integral(sin(x)/(cos(x) + tan(x)), (x, 0, 1))
Use the examples entering the upper and lower limits of integration.