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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of tan^6(x)×sec^4(x)
- Integral of sinh(ax)
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Integral of sqrt(16x^2+16x+5)
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Integral of x^2*exp(-x^2)
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Identical expressions
- sqrt(16x^ two +16x+ five)
- square root of (16x squared plus 16x plus 5)
- square root of (16x to the power of two plus 16x plus five)
- √(16x^2+16x+5)
- sqrt(16x2+16x+5)
- sqrt16x2+16x+5
- sqrt(16x²+16x+5)
- sqrt(16x to the power of 2+16x+5)
- sqrt16x^2+16x+5
- sqrt(16x^2+16x+5)dx
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Similar expressions
- sqrt(16x^2-16x+5)
- sqrt(16x^2+16x-5)
Integral of sqrt(16x^2+16x+5) dx
The solution
You have entered
[src]
6 / | | __________________ | / 2 | \/ 16*x + 16*x + 5 dx | / 3
$$\int\limits_{3}^{6} \sqrt{16 x^{2} + 16 x + 5}\, dx$$
Integral(sqrt(16*x^2 + 16*x + 5), (x, 3, 6))
The graph
The answer
[src]
_____ _____
7*\/ 197 asinh(14) asinh(26) 13*\/ 677
- --------- - --------- + --------- + ----------
4 8 8 4
$$- \frac{7 \sqrt{197}}{4} - \frac{\operatorname{asinh}{\left(14 \right)}}{8} + \frac{\operatorname{asinh}{\left(26 \right)}}{8} + \frac{13 \sqrt{677}}{4}$$
=
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_____ _____
7*\/ 197 asinh(14) asinh(26) 13*\/ 677
- --------- - --------- + --------- + ----------
4 8 8 4
$$- \frac{7 \sqrt{197}}{4} - \frac{\operatorname{asinh}{\left(14 \right)}}{8} + \frac{\operatorname{asinh}{\left(26 \right)}}{8} + \frac{13 \sqrt{677}}{4}$$
The graph
Use the examples entering the upper and lower limits of integration.