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Popular >

integral of (10z+6)

Solution

\int (10 z + 6) d z

Solution

5 z^{2} + 6 z + C

Solution steps

\int 10 z + 6 d z

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 10 z d z + \int 6 d z

\int 10 z d z = 5 z^{2}

\int 6 d z = 6 z

= 5 z^{2} + 6 z

Add a constant to the solution

= 5 z^{2} + 6 z + C

Popular Examples

integral of+sin(x)cos(1/2 x)

\int + sin (x) cos (\frac{1}{2} x) d x

integral of 5sqrt(1-25x^2)

\int 5 1 - 25 x^{2} d x

integral of (4x+2)/(sqrt(x^2+5x-1))

\int \frac{4 x + 2}{x ^{2} + 5 x - 1} d x

integral of (sin(3x))/(cos^2(3x)+6)

\int \frac{sin ( 3 x )}{cos ^{2} ( 3 x ) + 6} d x

integral of (3x-11)/((x+4)(5x-1))

\int \frac{3 x - 11}{( x + 4 ) ( 5 x - 1 )} d x

Frequently Asked Questions (FAQ)

What is the integral of (10z+6) ?
The integral of (10z+6) is 5z^2+6z+C