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Popular >

integral of 3-5x

Solution

\int 3 - 5 x d x

Solution

3 x - \frac{5 x ^{2}}{2} + C

Solution steps

\int 3 - 5 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 3 d x - \int 5 x d x

\int 3 d x = 3 x

\int 5 x d x = \frac{5 x ^{2}}{2}

= 3 x - \frac{5 x ^{2}}{2}

Add a constant to the solution

= 3 x - \frac{5 x ^{2}}{2} + C

Graph

Popular Examples

integral of 1/(sqrt(1+t))

\int \frac{1}{1 + t} d t

integral of 4/(x^2sqrt(81-9x^2))

\int \frac{4}{x ^{2} 81 - 9 x ^{2}} d x

integral of (ax^3-b)

\int (a x^{3} - b) d x

integral of 1/(9x^7)

\int \frac{1}{9 x ^{7}} d x

integral of sin(x)+e^{-x}+3x^2

\int sin (x) + e^{- x} + 3 x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of 3-5x ?
The integral of 3-5x is 3x-(5x^2)/2+C