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Popular >

integral of 15t^2

Solution

\int 15 t^{2} d t

Solution

5 t^{3} + C

Solution steps

\int 15 t^{2} d t

Take the constant out:

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

= 15 \cdot \int t^{2} d t

Apply the Power Rule

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

= 15 \cdot \frac{t ^{3}}{3}

Simplify

15 \cdot \frac{t ^{3}}{3} : 5 t^{3}

= 5 t^{3}

Add a constant to the solution

= 5 t^{3} + C

Popular Examples

y^{^{'}} = \frac{1}{y - x}

integral of (12x+2)sqrt(6x^2+2x)

\int (12 x + 2) 6 x^{2} + 2 x d x

integral of xe^{-3x^2}

\int x e^{- 3 x^{2}} d x

integral from 0 to 2 of 1/(x^2-2x+2)

\int_{0}^{2} \frac{1}{x ^{2} - 2 x + 2} d x

integral of 1/(a+bx^2)

\int \frac{1}{a + b x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 15t^2 ?
The integral of 15t^2 is 5t^3+C