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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

integral of x+tan(x)

\int x + tan (x) d x

limit as x approaches infinity of (3x^2+5x^3)/(2x^2-3x)

x \to \infty lim (\frac{3 x ^{2} + 5 x ^{3}}{2 x ^{2} - 3 x})

inverse oflaplace ((s))/((s^2+6s+25))inverse laplace

\frac{( s )}{( s ^{2} + 6 s + 25 )}

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\frac{d}{d x} ((4 x + 6) (9 x - 5))

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\frac{x + 7}{x}

Frequently Asked Questions (FAQ)

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