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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

Popular Examples

integral of (50x+10x^3)/(10x^2+x^4)

\int \frac{50 x + 10 x ^{3}}{10 x ^{2} + x ^{4}} d x

integral of sin^2(10x)cos^3(10x)

\int sin^{2} (10 x) cos^{3} (10 x) d x

\int - 2 z d z

integral of (3^x)^3

\int (3^{x})^{3} d x

integral of 2te^{3t}

\int 2 t e^{3 t} d t

Frequently Asked Questions (FAQ)

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