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Popular >

integral of t-3

Solution

\int t - 3 d t

Solution

\frac{t ^{2}}{2} - 3 t + C

Solution steps

\int 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 t d t - \int 3 d t

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

\int 3 d t = 3 t

= \frac{t ^{2}}{2} - 3 t

Add a constant to the solution

= \frac{t ^{2}}{2} - 3 t + C

Popular Examples

integral of 1/(sqrt(x^2-7))

\int \frac{1}{x ^{2} - 7} d x

integral of 5^{2x-1}-2^{3x}

\int 5^{2 x - 1} - 2^{3 x} d x

integral of 4x^3-5

\int 4 x^{3} - 5 d x

integral of (5-2x)^7

\int (5 - 2 x)^{7} d x

integral of 3x^{10}

\int 3 x^{10} d x

Frequently Asked Questions (FAQ)

What is the integral of t-3 ?
The integral of t-3 is (t^2)/2-3t+C