Final answer to the problem
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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The integral of a constant times a function is equal to the constant multiplied by the integral of the function
Learn how to solve integrals of polynomial functions problems step by step online.
$2\int_{1}^{4}\sqrt{x}dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate the function 2x^(1/2) from 1 to 4. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. 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{1}{2}. Divide fractions \frac{\sqrt{x^{3}}}{\frac{3}{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.
