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Popular >

integral of 2t+0

Solution

\int 2 t + 0 d t

Solution

t^{2} + C

Solution steps

\int 2 t + 0 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 0 d t

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

\int 0 d t = 0

= t^{2} + 0

Simplify

= t^{2}

Add a constant to the solution

= t^{2} + C

Graph

Popular Examples

integral of (x^4)/(\sqrt[7]{x^5+1)}

\int \frac{x ^{4}}{7 x ^{5} + 1} d x

integral of (5x^4)/(x^5-1)

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

integral of (y^2)/(1+y^2)

\int \frac{y ^{2}}{1 + y ^{2}} d y

integral of (x+9/2)e^{x^2+9x+1}

\int (x + \frac{9}{2}) e^{x^{2} + 9 x + 1} d x

integral of ln(3x^2+1)

\int ln (3 x^{2} + 1) d x

Frequently Asked Questions (FAQ)

What is the integral of 2t+0 ?
The integral of 2t+0 is t^2+C