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Popular >

integral of 4x+7

Solution

\int 4 x + 7 d x

Solution

2 x^{2} + 7 x + C

Solution steps

\int 4 x + 7 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 4 x d x + \int 7 d x

\int 4 x d x = 2 x^{2}

\int 7 d x = 7 x

= 2 x^{2} + 7 x

Add a constant to the solution

= 2 x^{2} + 7 x + C

Popular Examples

integral of (3x+9)/(x^2-4x-5)

\int \frac{3 x + 9}{x ^{2} - 4 x - 5} d x

derivative of x/(4x-3ln(x))

\frac{d}{d x} (\frac{x}{4 x - 3 ln ( x )})

integral of x(sin(x))

\int x (sin (x)) d x

limit as x approaches 0 of x/(|x|+x)

x \to 0 lim (\frac{x}{∣ x ∣ + x})

sum from n=1 to infinity of 1/(10n+1)

n = 1 \sum \infty \frac{1}{10 n + 1}

Frequently Asked Questions (FAQ)

What is the integral of 4x+7 ?
The integral of 4x+7 is 2x^2+7x+C