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Popular >

integral of 4t+1

Solution

\int 4 t + 1 d t

Solution

2 t^{2} + t + C

Solution steps

\int 4 t + 1 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 1 d t

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

\int 1 d t = t

= 2 t^{2} + t

Add a constant to the solution

= 2 t^{2} + t + C

Popular Examples

derivative of (x+9)/(x^2-7x+1)derivative of

\frac{x + 9}{x ^{2} - 7 x + 1}

(\partial)/(\partial x)(7x^{5y})

\frac{\partial}{\partial x} (7 x^{5 y})

derivative of 8/(|x-2|^3)

\frac{d}{d x} (\frac{8}{∣ x - 2 ∣ ^{3}})

integral of (2x^2+2x-3)^{10}*(2x+1)

\int (2 x^{2} + 2 x - 3)^{10} \cdot (2 x + 1) d x

d/(d{x)}((sqrt(9-{x)^2-{y}^2})/({x)+{z}})

\frac{d}{d x} (\frac{9 - x ^{2} - y ^{2}}{x + z})

Frequently Asked Questions (FAQ)

What is the integral of 4t+1 ?
The integral of 4t+1 is 2t^2+t+C