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Popular >

integral of (t^2-1)

Solution

\int (t^{2} - 1) d t

Solution

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

Solution steps

\int t^{2} - 1 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 1 d t

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

\int 1 d t = t

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

Add a constant to the solution

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

Graph

Popular Examples

integral of x*csc^2(x)

\int x \cdot csc^{2} (x) d x

integral of 2e^x-4

\int 2 e^{x} - 4 d x

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

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

integral of x(x-3)^2(x+1)^4

\int x (x - 3)^{2} (x + 1)^{4} d x

integral of (cos(θ))/(sin(θ))

\int \frac{cos ( θ )}{sin ( θ )} d θ

Frequently Asked Questions (FAQ)

What is the integral of (t^2-1) ?
The integral of (t^2-1) is (t^3)/3-t+C