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Popular Calculus >

integral of 3x-5

Solution

\int 3 x - 5 d x

Solution

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

Solution steps

\int 3 x - 5 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 5 d x

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

\int 5 d x = 5 x

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 1/(13-5cos(x))

\int \frac{1}{13 - 5 cos ( x )} d x

integral of (xsqrt(x^2+5))

\int (x x^{2} + 5) d x

integral of ye^y-ye

\int y e^{y} - ye d y

y^{''}+4y=csc^2(2t)

y^{^{''}} + 4 y = csc^{2} (2 t)

integral of 14sin^2(x)cos^2(x)

\int 14 sin^{2} (x) cos^{2} (x) d x

Frequently Asked Questions (FAQ)

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