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\int\left(x^3+3x^2\cdot x​\right)dx+\int\left(x^3+3x^{2−3​}\right)dx

Integrate x^3+3x^2−3​

Answer

$\frac{3x^{\left(1+2−3​\right)}}{1+2−3​}+x​x^{3}+\frac{1}{2}x^{4}+C_0$

Step-by-step explanation

Problem

$\int\left(x^3+3x^2\cdot x​\right)dx+\int\left(x^3+3x^{2−3​}\right)dx$
1

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

$\int3x^{2−3​}dx+\int x^3dx+\int x​\cdot 3x^2dx+\int x^3dx$

Unlock this step-by-step solution!

Answer

$\frac{3x^{\left(1+2−3​\right)}}{1+2−3​}+x​x^{3}+\frac{1}{2}x^{4}+C_0$

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$\int\left(x^3+3x^2\cdot x​\right)dx+\int\left(x^3+3x^{2−3​}\right)dx$

Main topic:

Integral calculus

Used formulas:

3. See formulas

Time to solve it:

~ 0.51 seconds