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Popular >

integral of 8t

Solution

\int 8 t d t

Solution

4 t^{2} + C

Solution steps

\int 8 t d t

Take the constant out:

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

= 8 \cdot \int t d t

Apply the Power Rule

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

= 8 \cdot \frac{t ^{2}}{2}

Simplify

8 \cdot \frac{t ^{2}}{2} : 4 t^{2}

= 4 t^{2}

Add a constant to the solution

= 4 t^{2} + C

Popular Examples

f^'(x)=3e^{2x^2}

f^{^{'}} (x) = 3 e^{2 x^{2}}

y^'=(1-4y^2)/(3xy)

y^{^{'}} = \frac{1 - 4 y ^{2}}{3 x y}

derivative of y=-6cos(-2x)derivative of

y = - 6 cos (- 2 x)

limit as x approaches 0+of x^{2/3}

x \to 0 + lim (x^{\frac{2}{3}})

integral of (x^2)/(sqrt(x^6-5))

\int \frac{x ^{2}}{x ^{6} - 5} d x

Frequently Asked Questions (FAQ)

What is the integral of 8t ?
The integral of 8t is 4t^2+C