Evaluating Definite Integrals: \int_0^1 \sqrt{x} - x^3 dx Explained

Thread starter tweety1234
Start date May 5, 2009
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Definite integral Integral

May 5, 2009

tweety1234

\int_0^1 \sqrt{x} - x^3 dx

How do I evaluate this?

what does \sqrt{x} -x^3 = ?

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May 5, 2009

Cyosis

Homework Helper

It is \sqrt{x}+(-x^3) \Rightarrow \int_0^1 \sqrt{x}+(-x^3) dx=\int_0^1 \sqrt{x}+\int_0^1 -x^3 dx

May 5, 2009

HallsofIvy

Science Advisor

Homework Helper

\sqrt{x}- x^3= x^{1/2}- x^3. That should be easy to integrate using the "power rule".

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