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Popular >

integral of 3t^8

Solution

\int 3 t^{8} d t

Solution

\frac{t ^{9}}{3} + C

Solution steps

\int 3 t^{8} d t

Take the constant out:

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

= 3 \cdot \int t^{8} d t

Apply the Power Rule

: \frac{t ^{9}}{9}

= 3 \cdot \frac{t ^{9}}{9}

Simplify

3 \cdot \frac{t ^{9}}{9} : \frac{t ^{9}}{3}

= \frac{t ^{9}}{3}

Add a constant to the solution

= \frac{t ^{9}}{3} + C

Popular Examples

integral of sqrt(4x^2-12x+7)

\int 4 x^{2} - 12 x + 7 d x

derivative of y=(sqrt(x))/(9+x)derivative of

y = \frac{x}{9 + x}

limit as x approaches 0 of 0/1

x \to 0 lim (\frac{0}{1})

(-14xy^2+19y)+(-14x^2y+19x)y^'=0

(- 14 x y^{2} + 19 y) + (- 14 x^{2} y + 19 x) y^{^{'}} = 0

integral from 1 to sqrt(3 of)x4^{(x^2)}

\int_{1}^{3} x 4^{(x^{2})} d x

Frequently Asked Questions (FAQ)

What is the integral of 3t^8 ?
The integral of 3t^8 is (t^9)/3+C