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Popular >

integral of 3/35 x^2

Solution

\int \frac{3}{35} x^{2} d x

Solution

\frac{x ^{3}}{35} + C

Solution steps

\int \frac{3}{35} x^{2} d x

Take the constant out:

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

= \frac{3}{35} \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= \frac{3}{35} \cdot \frac{x ^{3}}{3}

Simplify

\frac{3}{35} \cdot \frac{x ^{3}}{3} : \frac{x ^{3}}{35}

= \frac{x ^{3}}{35}

Add a constant to the solution

= \frac{x ^{3}}{35} + C

Popular Examples

y^{'''}+2y^{''}-13y^'+10y=0

y^{^{'''}} + 2 y^{^{''}} - 13 y^{^{'}} + 10 y = 0

y^{''}+2y^'+4y=0

y^{^{''}} + 2 y^{^{'}} + 4 y = 0

integral of 7/(sqrt(1+x^2))

\int \frac{7}{1 + x ^{2}} d x

derivative of x^2ln(7x)derivative of

x^{2} ln (7 x)

tangent of f(x)=sqrt(x+1),\at x=8 tangent of

f (x) = x + 1, at x = 8

Frequently Asked Questions (FAQ)

What is the integral of 3/35 x^2 ?
The integral of 3/35 x^2 is (x^3)/(35)+C