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Popular >

integral of x/7

Solution

\int \frac{x}{7} d x

Solution

\frac{x ^{2}}{14} + C

Solution steps

\int \frac{x}{7} d x

Take the constant out:

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

= \frac{1}{7} \cdot \int x d x

Apply the Power Rule

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

= \frac{1}{7} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{7} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{14}

= \frac{x ^{2}}{14}

Add a constant to the solution

= \frac{x ^{2}}{14} + C

Popular Examples

y^{^{'}} - 5 y = 10 x

inverse oflaplace 1/((s-4)^2)inverse laplace

\frac{1}{( s - 4 ) ^{2}}

integral of 4/(25-x)

\int \frac{4}{25 - x} d x

derivative of f(x)=294x^5-120x^4+420x^2 derivative of

f (x) = 294 x^{5} - 120 x^{4} + 420 x^{2}

tangent of f(x)=3x^2+4x,\at x=-3 tangent of

f (x) = 3 x^{2} + 4 x, at x = - 3

Frequently Asked Questions (FAQ)

What is the integral of x/7 ?
The integral of x/7 is (x^2)/(14)+C