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Popular >

integral of 3/(t^4)

Solution

\int \frac{3}{t ^{4}} d t

Solution

- \frac{1}{t ^{3}} + C

Solution steps

\int \frac{3}{t ^{4}} d t

Take the constant out:

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

= 3 \cdot \int \frac{1}{t ^{4}} d t

Apply the Power Rule

: - \frac{1}{3 t ^{3}}

= 3 (- \frac{1}{3 t ^{3}})

Simplify

3 (- \frac{1}{3 t ^{3}}) : - \frac{1}{t ^{3}}

= - \frac{1}{t ^{3}}

Add a constant to the solution

= - \frac{1}{t ^{3}} + C

Popular Examples

integral of 1/(sqrt(1-e^x))

\int \frac{1}{1 - e ^{x}} d x

(\partial)/(\partial x)(x^4y^3-y^4)

\frac{\partial}{\partial x} (x^{4} y^{3} - y^{4})

d/(d{y)}(ln({x}+2{y}+3{z}))

\frac{d}{d y} (ln (x + 2 y + 3 z))

limit as x approaches 5-of 2/(x-5)+1

x \to 5 - lim (\frac{2}{x - 5} + 1)

derivative of-4x^2+1 derivative of

- 4 x^{2} + 1

Frequently Asked Questions (FAQ)

What is the integral of 3/(t^4) ?
The integral of 3/(t^4) is -1/(t^3)+C