Math  /  Calculus

Question121x5dx\int_{1}^{2} \frac{1}{x^{5}} d x

Studdy Solution
Subtract the evaluated values to find the definite integral:
164(14)=164+14-\frac{1}{64} - \left(-\frac{1}{4}\right) = -\frac{1}{64} + \frac{1}{4}
Convert 14\frac{1}{4} to a fraction with a denominator of 64:
14=1664\frac{1}{4} = \frac{16}{64}
Now perform the subtraction:
164+1664=1564-\frac{1}{64} + \frac{16}{64} = \frac{15}{64}
The value of the definite integral is:
1564\boxed{\frac{15}{64}}

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