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\int_{a}^{b}\left(4x^3+\frac{2}{7}\cdot x\right)dx

Integrate 4x^3+2/7x from a to b

Answer

$\frac{2}{7}\left(\frac{1}{2}b^2-\frac{1}{2}a^2\right)-a^{4}+b^{4}$

Step-by-step explanation

Problem

$\int_{a}^{b}\left(4x^3+\frac{2}{7}\cdot x\right)dx$
1

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

$\int_{a}^{b}\frac{2}{7}xdx+\int_{a}^{b}4x^3dx$

Unlock this step-by-step solution!

Answer

$\frac{2}{7}\left(\frac{1}{2}b^2-\frac{1}{2}a^2\right)-a^{4}+b^{4}$

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$\int_{a}^{b}\left(4x^3+\frac{2}{7}\cdot x\right)dx$

Main topic:

Integral calculus

Used formulas:

3. See formulas

Time to solve it:

~ 0.34 seconds