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Popular >

integral of 1/42 x

Solution

\int \frac{1}{42} x d x

Solution

\frac{x ^{2}}{84} + C

Solution steps

\int \frac{1}{42} x d x

Take the constant out:

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

= \frac{1}{42} \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= \frac{1}{42} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{42} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{84}

= \frac{x ^{2}}{84}

Add a constant to the solution

= \frac{x ^{2}}{84} + C

Popular Examples

derivative of 5x-8

\frac{d}{d x} (5 x - 8)

tangent of f(x)=x^4-8x^3+4,\at x=-1 tangent of

f (x) = x^{4} - 8 x^{3} + 4, at x = - 1

sum from n=0 to infinity of (8n)/(6n+1)

n = 0 \sum \infty \frac{8 n}{6 n + 1}

xy^{''}+2y^'=12x^2,y^'(1)=4,y(1)=0

x y^{^{''}} + 2 y^{^{'}} = 12 x^{2}, y^{^{'}} (1) = 4, y (1) = 0

(x^2+(2y)/x)dx=(3-ln(x^2))dy

(x^{2} + \frac{2 y}{x}) d x = (3 - ln (x^{2})) d y

Frequently Asked Questions (FAQ)

What is the integral of 1/42 x ?
The integral of 1/42 x is (x^2)/(84)+C