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Popular Calculus >

integral of (4x+5)

Solution

\int (4 x + 5) d x

Solution

2 x^{2} + 5 x + C

Solution steps

\int 4 x + 5 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 4 x d x + \int 5 d x

\int 4 x d x = 2 x^{2}

\int 5 d x = 5 x

= 2 x^{2} + 5 x

Add a constant to the solution

= 2 x^{2} + 5 x + C

Graph

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(\partial)/(\partial y)(x^{6y})

Frequently Asked Questions (FAQ)

What is the integral of (4x+5) ?
The integral of (4x+5) is 2x^2+5x+C