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Integrate yx*965+2 from a to b

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$965y\left(\frac{1}{2}b^2-\frac{1}{2}a^2\right)-2a+2b$

Step-by-step explanation

Problem

$\int_{a}^{b}\left(965y\cdot x+2\right)dx$
1

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

$\int_{a}^{b}2dx+\int_{a}^{b}965x\cdot ydx$

$965y\left(\frac{1}{2}b^2-\frac{1}{2}a^2\right)-2a+2b$

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$\int_{a}^{b}\left(965y\cdot x+2\right)dx$

Main topic:

Integral calculus

~ 0.65 seconds