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How to use it?
- Integral of d{x}:
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Integral of (-1+u)/(1+u^2)
- Integral of √(1-cos(x))
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Integral of xln(2-x)
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Integral of xe^(-2x)dx
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Identical expressions
- one /(x^ seven *√log10(x))
- 1 divide by (x to the power of 7 multiply by √ logarithm of 10(x))
- one divide by (x to the power of seven multiply by √ logarithm of 10(x))
- 1/(x7*√log10(x))
- 1/x7*√log10x
- 1/(x⁷*√log10(x))
- 1/(x^7√log10(x))
- 1/(x7√log10(x))
- 1/x7√log10x
- 1/x^7√log10x
- 1 divide by (x^7*√log10(x))
- 1/(x^7*√log10(x))dx
Integral of 1/(x^7*√log10(x)) dx
The solution
You have entered
[src]
1 / | | 1 | ---------------- dx | _________ | 7 / log(x) | x * / ------- | \/ log(10) | / 0
$$\int\limits_{0}^{1} \frac{1}{x^{7} \sqrt{\frac{\log{\left(x \right)}}{\log{\left(10 \right)}}}}\, dx$$
Integral(1/(x^7*sqrt(log(x)/log(10))), (x, 0, 1))
The answer (Indefinite)
[src]
/ / | | | 1 _________ | 1 | ---------------- dx = C + \/ log(10) * | ------------- dx | _________ | 7 ________ | 7 / log(x) | x *\/ log(x) | x * / ------- | | \/ log(10) / | /
$$\int \frac{1}{x^{7} \sqrt{\frac{\log{\left(x \right)}}{\log{\left(10 \right)}}}}\, dx = C + \sqrt{\log{\left(10 \right)}} \int \frac{1}{x^{7} \sqrt{\log{\left(x \right)}}}\, dx$$
The answer
[src]
___ ____ _________
\/ 6 *\/ pi *\/ log(10)
-oo*I - ------------------------
6
$$- \frac{\sqrt{6} \sqrt{\pi} \sqrt{\log{\left(10 \right)}}}{6} - \infty i$$
=
=
___ ____ _________
\/ 6 *\/ pi *\/ log(10)
-oo*I - ------------------------
6
$$- \frac{\sqrt{6} \sqrt{\pi} \sqrt{\log{\left(10 \right)}}}{6} - \infty i$$
-oo*i - sqrt(6)*sqrt(pi)*sqrt(log(10))/6
Use the examples entering the upper and lower limits of integration.