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Popular >

integral of 3x-4

Solution

\int 3 x - 4 d x

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

Popular Examples

integral from 0 to 1 of (3x-2)^2

\int_{0}^{1} (3 x - 2)^{2} d x

tangent of y=x^2+x,(2,-3)tangent of

y = x^{2} + x, (2, - 3)

f^'(x)=x^3(x^4-1)

f^{^{'}} (x) = x^{3} (x^{4} - 1)

limit as x approaches 0 of 1/(1+5^{2/x)}

x \to 0 lim (\frac{1}{1 + 5 ^{\frac{2}{x}}})

integral of sin(1/3 x)

\int sin (\frac{1}{3} 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