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Popular >

integral of 4t+4

Solution

\int 4 t + 4 d t

Solution

2 t^{2} + 4 t + C

Solution steps

\int 4 t + 4 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 4 t d t + \int 4 d t

\int 4 t d t = 2 t^{2}

\int 4 d t = 4 t

= 2 t^{2} + 4 t

Add a constant to the solution

= 2 t^{2} + 4 t + C

Popular Examples

integral of cos^4(x/3)sin^3(x/3)

\int cos^{4} (\frac{x}{3}) sin^{3} (\frac{x}{3}) d x

integral of 8/(2x+1)

\int \frac{8}{2 x + 1} d x

integral of 1/2 x^{-3}

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

integral of sin(sqrt(2x+1))

\int sin (2 x + 1) d x

integral of (x^2+1)(x-1)

\int (x^{2} + 1) (x - 1) d x

Frequently Asked Questions (FAQ)

What is the integral of 4t+4 ?
The integral of 4t+4 is 2t^2+4t+C