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Step-by-step Solution

Integrate x^3-6x from 0 to 3

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csc

asin
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sinh
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asinh
acosh
atanh
acoth
asech
acsch

Answer

$-6.75$

Step-by-step explanation

Problem to solve:

$\int_{0}^{3}\left(x^3-6x\right)dx$
1

The integral of a sum of two or more functions is equal to the sum of their integrals

$\int_{0}^{3} x^3dx+\int_{0}^{3}-6xdx$
2

Take the constant out of the integral

$\int_{0}^{3} x^3dx-6\int_{0}^{3} xdx$

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Answer

$-6.75$
$\int_{0}^{3}\left(x^3-6x\right)dx$

Main topic:

Definite integrals

Time to solve it:

~ 11.53 seconds

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