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Popular >

integral of 12t+12

Solution

\int 12 t + 12 d t

Solution

6 t^{2} + 12 t + C

Solution steps

\int 12 t + 12 d t

Apply the Sum Rule:

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

= \int 12 t d t + \int 12 d t

\int 12 t d t = 6 t^{2}

\int 12 d t = 12 t

= 6 t^{2} + 12 t

Add a constant to the solution

= 6 t^{2} + 12 t + C

Popular Examples

y^{''}-6y^'+9y=((13.5e^{(3t)}))/(t^2+1)

y^{^{''}} - 6 y^{^{'}} + 9 y = \frac{( 13.5 e ^{(3 t)} )}{t ^{2} + 1}

derivative of cosh(ln(e^{x^3}))

\frac{d}{d x} (cosh (ln (e^{x^{3}})))

integral of 9/((1-x^2)^{3/2)}

\int \frac{9}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x

integral of 9/(sqrt(x))

\int \frac{9}{x} d x

x^2dy=(5y^3-2xy)dx

x^{2} d y = (5 y^{3} - 2 x y) d x

Frequently Asked Questions (FAQ)

What is the integral of 12t+12 ?
The integral of 12t+12 is 6t^2+12t+C