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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^7*sqrt(1+x^4)
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Integral of 1/(y*log(y))
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Integral of sin10x
- Integral of sqrt(1+4t^2+4t^4)
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Identical expressions
- x^ seven *sqrt(one +x^ four)
- x to the power of 7 multiply by square root of (1 plus x to the power of 4)
- x to the power of seven multiply by square root of (one plus x to the power of four)
- x^7*√(1+x^4)
- x7*sqrt(1+x4)
- x7*sqrt1+x4
- x⁷*sqrt(1+x⁴)
- x^7sqrt(1+x^4)
- x7sqrt(1+x4)
- x7sqrt1+x4
- x^7sqrt1+x^4
- x^7*sqrt(1+x^4)dx
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Similar expressions
- x^7*sqrt(1-x^4)
Integral of x^7*sqrt(1+x^4) dx
The solution
You have entered
[src]
1 / | | ________ | 7 / 4 | x *\/ 1 + x dx | / 0
$$\int\limits_{0}^{1} x^{7} \sqrt{x^{4} + 1}\, dx$$
Integral(x^7*sqrt(1 + x^4), (x, 0, 1))
The answer (Indefinite)
[src]
/ | ________ ________ ________ | ________ / 4 8 / 4 4 / 4 | 7 / 4 \/ 1 + x x *\/ 1 + x x *\/ 1 + x | x *\/ 1 + x dx = C - ----------- + -------------- + -------------- | 15 10 30 /
$${{\left(x^4+1\right)^{{{5}\over{2}}}}\over{10}}-{{\left(x^4+1
\right)^{{{3}\over{2}}}}\over{6}}$$
The graph
The answer
[src]
___ 1 \/ 2 -- + ----- 15 15
$${{\sqrt{2}}\over{15}}+{{1}\over{15}}$$
=
=
___ 1 \/ 2 -- + ----- 15 15
$$\frac{1}{15} + \frac{\sqrt{2}}{15}$$
The graph
Use the examples entering the upper and lower limits of integration.