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Popular >

integral of t^2-2t-3

Solution

\int t^{2} - 2 t - 3 d t

Solution

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

Solution steps

\int t^{2} - 2 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^{2} d t - \int 2 t d t - \int 3 d t

\int t^{2} d t = \frac{t ^{3}}{3}

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

\int 3 d t = 3 t

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

Add a constant to the solution

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

Popular Examples

integral of tan^3(x)integral

tan^{3} (x)

integral of (cosh(x))/x

\int \frac{cosh ( x )}{x} d x

integral of 1/(4sin(x)+3cos(x)+5)

\int \frac{1}{4 sin ( x ) + 3 cos ( x ) + 5} d x

integral of 8x^4e^{x^5}

\int 8 x^{4} e^{x^{5}} d x

integral of (cos(3x))/(sin^5(3x))

\int \frac{cos ( 3 x )}{sin ^{5} ( 3 x )} d x

Frequently Asked Questions (FAQ)

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