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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

Graph

Popular Examples

integral of (x^3+3x-2)/(x^4+2x^3+5x^2)

\int \frac{x ^{3} + 3 x - 2}{x ^{4} + 2 x ^{3} + 5 x ^{2}} d x

integral of arcsin(x/4)

\int arcsin (\frac{x}{4}) d x

integral of 2xe^{8x^2}

\int 2 x e^{8 x^{2}} d x

integral of u^{-5}

\int u^{- 5} d u

integral of (5x+7)/(x^2+2x+1)

\int \frac{5 x + 7}{x ^{2} + 2 x + 1} d x

Frequently Asked Questions (FAQ)

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