Find {eq}\displaystyle \int x^4 - 5e^{-2x} \ dx {/eq}


Find {eq}\displaystyle \int x^4 - 5e^{-2x} \ dx {/eq}


We split the given function into pieces that correspond to the given definite integral values. We then substitute the given values to get the answer.

We know that

{eq}\displaystyle \int (f(x)+g(x))dx=\int f(x)dx+ \int g(x) dx{/eq}

{eq}\displaystyle \int af(x)dx=a\int f(x)dx{/eq}

Answer and Explanation: 1

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{eq}\displaystyle \int x^4 - 5e^{-2x} \ dx {/eq}

We know that

{eq}\displaystyle \int f\left(x\right)\pm g\left(x\right)dx=\int...

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Evaluating Definite Integrals Using the Fundamental Theorem


Chapter 16 / Lesson 2

In calculus, the fundamental theorem is an essential tool that helps explain the relationship between integration and differentiation. Learn about evaluating definite integrals using the fundamental theorem, and work examples to gain understanding.

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