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Popular >

integral of (3x-1)

Solution

\int (3 x - 1) d x

Solution

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

Solution steps

\int 3 x - 1 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 1 d x

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

\int 1 d x = x

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

Add a constant to the solution

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

Popular Examples

integral of 3^{4-11x}

\int 3^{4 - 11 x} d x

integral of (sqrt(4x^2+8))/(x^4)

\int \frac{4 x ^{2} + 8}{x ^{4}} d x

integral of (x+1)sin(x)

\int (x + 1) sin (x) d x

integral of (sin(x))/(1+sin(x)+cos(x))

\int \frac{sin ( x )}{1 + sin ( x ) + cos ( x )} d x

integral of 5/(x(ln(x))^4)

\int \frac{5}{x ( ln ( x ) ) ^{4}} d x

Frequently Asked Questions (FAQ)

What is the integral of (3x-1) ?
The integral of (3x-1) is (3x^2)/2-x+C