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Popular >

integral of-10t

Solution

\int - 10 t d t

Solution

- 5 t^{2} + C

Solution steps

\int - 10 t d t

Take the constant out:

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

= - 10 \cdot \int t d t

Apply the Power Rule

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

= - 10 \cdot \frac{t ^{2}}{2}

Simplify

- 10 \cdot \frac{t ^{2}}{2} : - 5 t^{2}

= - 5 t^{2}

Add a constant to the solution

= - 5 t^{2} + C

Popular Examples

tangent of f(x)=5x^3-5x,(1,0)tangent of

f (x) = 5 x^{3} - 5 x, (1, 0)

4 y^{^{''}} - y - 1 = 0

y^{^{'}} = x + y, y (0) = 4

derivative of ln(cos((x-1/x)))

\frac{d}{d x} (ln (cos (\frac{x - 1}{x})))

limit as x approaches 0 of x^5*cos(1/x)

x \to 0 lim (x^{5} \cdot cos (\frac{1}{x}))

Frequently Asked Questions (FAQ)

What is the integral of-10t ?
The integral of-10t is -5t^2+C