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Popular Calculus >

integral of 2t+3

Solution

\int 2 t + 3 d t

Solution

t^{2} + 3 t + C

Solution steps

\int 2 t + 3 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 2 t d t + \int 3 d t

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

\int 3 d t = 3 t

= t^{2} + 3 t

Add a constant to the solution

= t^{2} + 3 t + C

Graph

Popular Examples

x y^{^{'}} + y + x = 0

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a re a (x - 3) x (x + 3), 3 - x, 0, 2

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s l o p e y = - (x + \frac{1}{2})^{2} + \frac{7}{2}

integral of 3cos((npix)/3)

\int 3 cos (\frac{nπ x}{3}) d x

y^'=(x^2)/(y(2+x^3))

y^{^{'}} = \frac{x ^{2}}{y ( 2 + x ^{3} )}

Frequently Asked Questions (FAQ)

What is the integral of 2t+3 ?
The integral of 2t+3 is t^2+3t+C