en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-2t^5

Solution

\int - 2 t^{5} d t

Solution

- \frac{t ^{6}}{3} + C

Solution steps

\int - 2 t^{5} d t

Take the constant out:

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

= - 2 \cdot \int t^{5} d t

Apply the Power Rule

: \frac{t ^{6}}{6}

= - 2 \cdot \frac{t ^{6}}{6}

Simplify

- 2 \cdot \frac{t ^{6}}{6} : - \frac{t ^{6}}{3}

= - \frac{t ^{6}}{3}

Add a constant to the solution

= - \frac{t ^{6}}{3} + C

Popular Examples

derivative of (x^2-9)^2 derivative of

(x^{2} - 9)^{2}

integral of (x^2+1/((3x)^2))

\int (x^{2} + \frac{1}{( 3 x ) ^{2}}) d x

integral of x^3-3x^2+2x

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

integral of (x^3-6x^2+11x-6)/(4x^3-28x^2+56x-32)

\int \frac{x ^{3} - 6 x ^{2} + 11 x - 6}{4 x ^{3} - 28 x ^{2} + 56 x - 32} d x

integral from-infinity to 0 of e^{5x}

\int_{- \infty}^{0} e^{5 x} d x

Frequently Asked Questions (FAQ)

What is the integral of-2t^5 ?
The integral of-2t^5 is -(t^6)/3+C