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Popular >

integral of-3t^2

Solution

\int - 3 t^{2} d t

Solution

- t^{3} + C

Solution steps

\int - 3 t^{2} d t

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Apply the Power Rule

: \frac{t ^{3}}{3}

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

Simplify

- 3 \cdot \frac{t ^{3}}{3} : - t^{3}

= - t^{3}

Add a constant to the solution

= - t^{3} + C

Graph

Popular Examples

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\int \frac{y}{5 - y} d y

integral of (3x^2+x-2)/(x^4+8x^2+16)

\int \frac{3 x ^{2} + x - 2}{x ^{4} + 8 x ^{2} + 16} d x

integral of x^3tan(x^2)

\int x^{3} tan (x^{2}) d x

integral of 8xy^2

\int 8 x y^{2} d x

integral of sin(2x)e^{2x}

\int sin (2 x) e^{2 x} d x

Frequently Asked Questions (FAQ)

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