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Popular >

integral of 2t+9

Solution

\int 2 t + 9 d t

Solution

t^{2} + 9 t + C

Solution steps

\int 2 t + 9 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 9 d t

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

\int 9 d t = 9 t

= t^{2} + 9 t

Add a constant to the solution

= t^{2} + 9 t + C

Popular Examples

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

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

integral of ((ln(x)))/(x^4)

\int \frac{( ln ( x ) )}{x ^{4}} d x

integral of (x^2)/(4+x^3)

\int \frac{x ^{2}}{4 + x ^{3}} d x

integral of (x^2+4)/(x^2-4)

\int \frac{x ^{2} + 4}{x ^{2} - 4} d x

integral of x/(x^2-5x+4)

\int \frac{x}{x ^{2} - 5 x + 4} d x

Frequently Asked Questions (FAQ)

What is the integral of 2t+9 ?
The integral of 2t+9 is t^2+9t+C