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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

integral of 1/(sqrt(3^2-x^2))

\int \frac{1}{3 ^{2} - x ^{2}} d x

integral of 1/(ln(x+6))

\int \frac{1}{ln ( x + 6 )} d x

integral of x^2cos(x^2+pi)

\int x^{2} cos (x^{2} + π) d x

integral of x/(2sqrt(x^2-1))

\int \frac{x}{2 x ^{2} - 1} d x

integral of sqrt(x^47^{4x^3)}

\int x^{4} 7^{4 x^{3}} d x

Frequently Asked Questions (FAQ)

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