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Popular >

integral of 7-3x

Solution

\int 7 - 3 x d x

Solution

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

Solution steps

\int 7 - 3 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 7 d x - \int 3 x d x

\int 7 d x = 7 x

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

= 7 x - \frac{3 x ^{2}}{2}

Add a constant to the solution

= 7 x - \frac{3 x ^{2}}{2} + C

Graph

Popular Examples

integral of (8x^3-9x+7)/(x^3-x^2)

\int \frac{8 x ^{3} - 9 x + 7}{x ^{3} - x ^{2}} d x

integral of (x+1)/(sqrt(3+4x-4x^2))

\int \frac{x + 1}{3 + 4 x - 4 x ^{2}} d x

integral of (e^x+1/(5x))

\int (e^{x} + \frac{1}{5 x}) d x

integral of (tan(t)+sin(t))cos(t)

\int (tan (t) + sin (t)) cos (t) d t

integral of (inx)/(sqrt(x))

\int \frac{in x}{x} d x

Frequently Asked Questions (FAQ)

What is the integral of 7-3x ?
The integral of 7-3x is 7x-(3x^2)/2+C