Final answer to the problem
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How should I solve this problem?
- Integrate by parts
- Integrate by partial fractions
- Integrate by substitution
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Expand the fraction $\frac{1-\sqrt{x}}{\sqrt{x}}$ into $2$ simpler fractions with common denominator $\sqrt{x}$
Learn how to solve definite integrals problems step by step online.
$\int_{1}^{4}\left(\frac{1}{\sqrt{x}}+\frac{-\sqrt{x}}{\sqrt{x}}\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (1-x^1/2)/(x^1/2) from 1 to 4. Expand the fraction \frac{1-\sqrt{x}}{\sqrt{x}} into 2 simpler fractions with common denominator \sqrt{x}. Simplify the resulting fractions. Expand the integral \int_{1}^{4}\left(\frac{1}{\sqrt{x}}-1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{1}^{4}\frac{1}{\sqrt{x}}dx results in: 2.