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Algebra
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\[\int\limits(5x ^{3}-4x+1)dx\]
Evaluate the following indefinite integrals
well do you know the basics of integration... \[\int\limits x^n dx = \frac{1}{n + 1} x^{n + 1} + C \] C is a constant you need to apply this rule to each term in your indefinite integral

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Other answers:

this is same as taking the integral of each term in the expression
ok do you mind if u can go little bit in more detail
apply the exponent rule cambell_st wrote to each term
so you can have \[\int\limits ax^n dx = a \times \frac{1}{n + 1} x^{n +1} + C\] so you can do your question in 3 parts \[\int\limits 5x^3 dx - \int\limits 4x dx + \int\limits 1 dx \]

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