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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

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\frac{d}{d x} (\frac{a}{b})

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\frac{2 x ^{6} + 1}{8 x ^{2}}

integral of (cos(u))/(3a)

\int \frac{cos ( u )}{3 a} d u

integral from 0 to 1 of 12cos(x^2)

\int_{0}^{1} 12 cos (x^{2}) d x

limit as x approaches pi/4 of cot(4x)

x \to \frac{π}{4} lim (cot (4 x))

Frequently Asked Questions (FAQ)

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