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How to use it?
- Integral of d{x}:
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Integral of 1/(2+x^2)
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Integral of x*sin2x
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Integral of y^(-2/3)
- Integral of x/(x^3-3x+2)
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Identical expressions
- sqrt(one + thirty-six *x^ two)
- square root of (1 plus 36 multiply by x squared )
- square root of (one plus thirty minus six multiply by x to the power of two)
- √(1+36*x^2)
- sqrt(1+36*x2)
- sqrt1+36*x2
- sqrt(1+36*x²)
- sqrt(1+36*x to the power of 2)
- sqrt(1+36x^2)
- sqrt(1+36x2)
- sqrt1+36x2
- sqrt1+36x^2
- sqrt(1+36*x^2)dx
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Similar expressions
- sqrt(1-36*x^2)
Integral of sqrt(1+36*x^2) dx
The solution
You have entered
[src]
1 / | | ___________ | / 2 | \/ 1 + 36*x dx | / 0
$$\int\limits_{0}^{1} \sqrt{36 x^{2} + 1}\, dx$$
Integral(sqrt(1 + 36*x^2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | ___________ | ___________ / 2 | / 2 asinh(6*x) x*\/ 1 + 36*x | \/ 1 + 36*x dx = C + ---------- + ---------------- | 12 2 /
$$\int \sqrt{36 x^{2} + 1}\, dx = C + \frac{x \sqrt{36 x^{2} + 1}}{2} + \frac{\operatorname{asinh}{\left(6 x \right)}}{12}$$
The graph
The answer
[src]
____ \/ 37 asinh(6) ------ + -------- 2 12
$$\frac{\operatorname{asinh}{\left(6 \right)}}{12} + \frac{\sqrt{37}}{2}$$
=
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____ \/ 37 asinh(6) ------ + -------- 2 12
$$\frac{\operatorname{asinh}{\left(6 \right)}}{12} + \frac{\sqrt{37}}{2}$$
sqrt(37)/2 + asinh(6)/12
Use the examples entering the upper and lower limits of integration.