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Step-by-step Solution

Integrate $x^3-3x^2+1$ with respect to x

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Answer

$\frac{x^{4}}{4}-x^{3}+x+C_0$

Step-by-step explanation

Problem to solve:

$\int\left(x^3-3x^2+1\right)dx$
1

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

$\int x^3dx+\int-3x^2dx+\int1dx$
2

The integral of a constant is equal to the constant times the integral's variable

$\int x^3dx+\int-3x^2dx+x$

Unlock this step-by-step solution!

Answer

$\frac{x^{4}}{4}-x^{3}+x+C_0$
$\int\left(x^3-3x^2+1\right)dx$

Main topic:

Integral calculus

Used formulas:

4. See formulas

Time to solve it:

~ 0.73 seconds