Final answer to the problem
$\frac{2\sqrt{\left(4\right)^{7}}}{7}- \frac{2\sqrt{\left(0\right)^{7}}}{7}$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
Simplify the expression
Learn how to solve integrals of polynomial functions problems step by step online.
$\int_{0}^{4}\sqrt{x^{5}}dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate the function (x^3)/(x^(1/2)) from 0 to 4. Simplify the expression. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as \frac{5}{2}. Divide fractions \frac{\sqrt{x^{7}}}{\frac{7}{2}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Evaluate the definite integral.
Final answer to the problem
$\frac{2\sqrt{\left(4\right)^{7}}}{7}- \frac{2\sqrt{\left(0\right)^{7}}}{7}$
Exact Numeric Answer
$36.571429$
