How do I find integrals like(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \int_{a}^{b} \left( x^2 + 1 \right)^2 \ dx [/tex]. This one is easy, since I can just turn it into [tex] \int_{a}^{b} \left( x^4 + 2x^2 + 1 \right) \ dx [/tex]. But what if it would say [tex] \int_{a}^{b} \left( x^2 + 1 \right)^{40} \ dx [/tex]? What technique should I use?

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# Approximation methods that can be applied

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