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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
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
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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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