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Popular >

integral of 2t^{-8}

Solution

\int 2 t^{- 8} d t

Solution

- \frac{2}{7 t ^{7}} + C

Solution steps

\int 2 t^{- 8} d t

Take the constant out:

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

= 2 \cdot \int t^{- 8} d t

Apply the Power Rule

: - \frac{1}{7 t ^{7}}

= 2 (- \frac{1}{7 t ^{7}})

Simplify

2 (- \frac{1}{7 t ^{7}}) : - \frac{2}{7 t ^{7}}

= - \frac{2}{7 t ^{7}}

Add a constant to the solution

= - \frac{2}{7 t ^{7}} + C

Popular Examples

integral of sqrt(x^2-8x+18)

\int x^{2} - 8 x + 18 d x

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

\int \frac{x ^{2} - x - 1}{x + 1} d x

integral of ((m^2-3)(m^2+6))/(3m^3)

\int \frac{( m ^{2} - 3 ) ( m ^{2} + 6 )}{3 m ^{3}} d m

integral of (sin^2(t))

\int (sin^{2} (t)) d t

integral of (x-3)/(x^2-6x+7)

\int \frac{x - 3}{x ^{2} - 6 x + 7} d x

Frequently Asked Questions (FAQ)

What is the integral of 2t^{-8} ?
The integral of 2t^{-8} is -2/(7t^7)+C