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Popular >

integral of t+2

Solution

\int t + 2 d t

Solution

\frac{t ^{2}}{2} + 2 t + C

Solution steps

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

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

\int 2 d t = 2 t

= \frac{t ^{2}}{2} + 2 t

Add a constant to the solution

= \frac{t ^{2}}{2} + 2 t + C

Popular Examples

integral of 1/2 e^{1/2 x}

\int \frac{1}{2} e^{\frac{1}{2} x} d x

integral of (2x+3)/(x^2-7x+10)

\int \frac{2 x + 3}{x ^{2} - 7 x + 10} d x

integral of (x^2)/((25-x^2)^{5/2)}

\int \frac{x ^{2}}{( 25 - x ^{2} ) ^{\frac{5}{2}}} d x

integral of 4x^3+2

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

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

\int \frac{- 5 arctan ( x )}{2 + 2 x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of t+2 ?
The integral of t+2 is (t^2)/2+2t+C