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Popular >

integral of bx

Solution

\int b x d x

Solution

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

Solution steps

\int b x d x

Take the constant out:

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

= b \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 9a^7x^6

\int 9 a^{7} x^{6} d x

integral of sin(-x+1)

\int sin (- x + 1) d x

integral of x^3sin(2x^2)

\int x^{3} sin (2 x^{2}) d x

integral of (2x-1)sin(x)

\int (2 x - 1) sin (x) d x

integral of x/(sqrt(8-x))

\int \frac{x}{8 - x} d x

Frequently Asked Questions (FAQ)

What is the integral of bx ?
The integral of bx is (bx^2)/2+C