How do you integrate fractions?

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How do you integrate fractions?

I know how to integrate $\frac{1}{x}$ $1/x$ and other reciprocals, (definitely and indefinitely) but I'm little confused when you have the variable as the numerator eg. $\frac{x}{3}$ $x/3$ or $\frac{x}{7}$ $x/7$

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Answer 1 · 2018-04-13T17:23:39

When the variable is in the numerator you just use the power rule for integration. Note that

$\int \frac{x}{5} d x = \int \frac{1}{5} x d x = \frac{1}{5} \frac{x^{1 + 1}}{1 + 1} + C = \frac{1}{10} x^{2} + C$ $int x/5dx = int 1/5xdx = 1/5x^(1 + 1)/(1 + 1) + C = 1/10x^2 + C$

Hopefully this helps!

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How do you integrate fractions?

I know how to integrate $\frac{1}{x}$ $1/x$ and other reciprocals, (definitely and indefinitely) but I'm little confused when you have the variable as the numerator eg. $\frac{x}{3}$ $x/3$ or $\frac{x}{7}$ $x/7$

1 Answer

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Impact of this question

Science

Math

Humanities

... and beyond

How do you integrate fractions?

I know how to integrate 1x1/x and other reciprocals, (definitely and indefinitely) but I'm little confused when you have the variable as the numerator eg. x3x/3 or x7x/7

1 Answer

Related questions

Impact of this question

I know how to integrate $\frac{1}{x}$ $1/x$ and other reciprocals, (definitely and indefinitely) but I'm little confused when you have the variable as the numerator eg. $\frac{x}{3}$ $x/3$ or $\frac{x}{7}$ $x/7$