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Popular >

integral of 1+4x

Solution

\int 1 + 4 x d x

Solution

x + 2 x^{2} + C

Solution steps

\int 1 + 4 x 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 1 d x + \int 4 x d x

\int 1 d x = x

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

= x + 2 x^{2}

Add a constant to the solution

= x + 2 x^{2} + C

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\int (e^{x} + 5) d x

Frequently Asked Questions (FAQ)

What is the integral of 1+4x ?
The integral of 1+4x is x+2x^2+C