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Popular Calculus >

integral of 3x-4

Solution

integral

3 x - 4

Solution

\frac{3 x ^{2}}{2} - 4 x + C

Solution steps

\int 3 x - 4 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 3 x d x - \int 4 d x

\int 3 x d x = \frac{3 x ^{2}}{2}

\int 4 d x = 4 x

= \frac{3 x ^{2}}{2} - 4 x

Add a constant to the solution

= \frac{3 x ^{2}}{2} - 4 x + C

Graph

Popular Examples

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\int p (p + 3)^{8} d p

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\int \frac{e ^{x}}{sec ( x )} d x

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

integral of ((x+1+tanh^2(1/x))/(x^2))

\int (\frac{x + 1 + tanh ^{2} ( \frac{1}{x} )}{x ^{2}}) d x

integral of csc^2(8x)

\int csc^{2} (8 x) d x

Frequently Asked Questions (FAQ)

What is the integral of 3x-4 ?
The integral of 3x-4 is (3x^2)/2-4x+C