Integrate (x^2)/(1139/100010^(131*-1)) from 5/2 to 5

\int_{\frac{5}{2}}^{5}\frac{x^2}{\frac{1139}{1000}10^{131\left(-1\right)}}dx

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Answer

$3200907228563067000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

Step by step solution

Problem

$\int_{\frac{5}{2}}^{5}\frac{x^2}{\frac{1139}{1000}10^{131\left(-1\right)}}dx$
1

Calculate the power

$\int_{\frac{5}{2}}^{5}\frac{x^2}{0\cdot \frac{\sqrt{5}}{2}}dx$
2

Multiply $\frac{\sqrt{5}}{2}$ times $0$

$\int_{\frac{5}{2}}^{5}\frac{x^2}{0}dx$
3

Taking the constant out of the integral

$87796312554872700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\int_{\frac{5}{2}}^{5} x^2dx$
4

Apply the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a constant function

$\left[87796312554872700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\frac{x^{3}}{3}\right]_{\frac{5}{2}}^{5}$
5

Simplify the fraction

$\left[29265437518290900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x^{3}\right]_{\frac{5}{2}}^{5}$
6

Evaluate the definite integral

$5^{3}\cdot 29265437518290900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-1\cdot 2.5^{3}\cdot 29265437518290900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$
7

Multiply $29265437518290900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$ times $-1$

$2.5^{3}\left(-29265437518290900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\right)+5^{3}\cdot 29265437518290900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$
8

Calculate the power

$15.625\left(-29265437518290900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\right)+125\cdot 29265437518290900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$
9

Multiply $29265437518290900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$ times $125$

$3658179689786362000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-457272461223295300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$
10

Subtract the values $3658179689786362000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$ and $-457272461223295300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

$3200907228563067000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

Answer

$3200907228563067000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

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Problem Analysis

Main topic:

Integral calculus

Time to solve it:

0.21 seconds

Views:

98