Evaluate
\frac{78124}{7}\approx 11160.571428571
Quiz
Integration
5 problems similar to:
\int _ { 1 } ^ { 5 } ( \frac { x ^ { 2 } } { x ^ { - 4 } } ) d x
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\int _{1}^{5}x^{6}\mathrm{d}x
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -4 from 2 to get 6.
\int x^{6}\mathrm{d}x
Evaluate the indefinite integral first.
\frac{x^{7}}{7}
Since \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} for k\neq -1, replace \int x^{6}\mathrm{d}x with \frac{x^{7}}{7}.
\frac{5^{7}}{7}-\frac{1^{7}}{7}
The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.
\frac{78124}{7}
Simplify.
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