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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^(1/3)
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Integral of sin(x)^4
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Integral of cos(x)^3
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Integral of (e^(x^2))
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Identical expressions
- sin(x)/(cos²(x)+ sixteen)
- sinus of (x) divide by ( co sinus of e of ²(x) plus 16)
- sinus of (x) divide by ( co sinus of e of ²(x) plus sixteen)
- sinx/cos²x+16
- sin(x) divide by (cos²(x)+16)
- sin(x)/(cos²(x)+16)dx
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Similar expressions
- sin(x)/(cos²(x)-16)
- sinx/(cos²(x)+16)
Integral of sin(x)/(cos²(x)+16) dx
The solution
You have entered
[src]
1 / | | sin(x) | ------------ dx | 2 | cos (x) + 16 | / 0
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)} + 16}\, dx$$
Integral(sin(x)/(cos(x)^2 + 16), (x, 0, 1))
The answer (Indefinite)
[src]
/ /cos(x)\ | atan|------| | sin(x) \ 4 / | ------------ dx = C - ------------ | 2 4 | cos (x) + 16 | /
$$\int \frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)} + 16}\, dx = C - \frac{\operatorname{atan}{\left(\frac{\cos{\left(x \right)}}{4} \right)}}{4}$$
The graph
The answer
[src]
/cos(1)\
atan|------|
\ 4 / atan(1/4)
- ------------ + ---------
4 4
$$- \frac{\operatorname{atan}{\left(\frac{\cos{\left(1 \right)}}{4} \right)}}{4} + \frac{\operatorname{atan}{\left(\frac{1}{4} \right)}}{4}$$
=
=
/cos(1)\
atan|------|
\ 4 / atan(1/4)
- ------------ + ---------
4 4
$$- \frac{\operatorname{atan}{\left(\frac{\cos{\left(1 \right)}}{4} \right)}}{4} + \frac{\operatorname{atan}{\left(\frac{1}{4} \right)}}{4}$$
-atan(cos(1)/4)/4 + atan(1/4)/4
Use the examples entering the upper and lower limits of integration.