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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

Graph

Popular Examples

integral of (24x^3+9)(2x^4+3x)^{11}

\int (24 x^{3} + 9) (2 x^{4} + 3 x)^{11} d x

integral of 5xsqrt(x-3)

\int 5 x x - 3 d x

integral of cos(6x+5)

\int cos (6 x + 5) d x

integral of 3^x-4

\int 3^{x} - 4 d x

integral of sqrt(4-r^2)r

\int 4 - r^{2} r d r

Frequently Asked Questions (FAQ)

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