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Popular >

integral of 3t

Solution

\int 3 t d t

Solution

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

Solution steps

\int 3 t d t

Take the constant out:

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

= 3 \cdot \int t d t

Apply the Power Rule

: \frac{t ^{2}}{2}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Popular Examples

derivative of 1-xsqrt(x)derivative of

1 - x x

(\partial)/(\partial z)(ycos(z))

\frac{\partial}{\partial z} (y cos (z))

derivative of 3x+sqrt(3x)derivative of

3 x + 3 x

area (y^2)/2 =x,x=2y area

\frac{y ^{2}}{2} = x, x = 2 y

integral of 5(9x-4)^4

\int 5 (9 x - 4)^{4} d x

Frequently Asked Questions (FAQ)

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