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Popular >

integral of bx^3

Solution

\int b x^{3} d x

Solution

\frac{b x ^{4}}{4} + C

Solution steps

\int b x^{3} d x

Take the constant out:

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

= b \cdot \int x^{3} d x

Apply the Power Rule

: \frac{x ^{4}}{4}

= b \frac{x ^{4}}{4}

Multiply fractions:

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

= \frac{b x ^{4}}{4}

Add a constant to the solution

= \frac{b x ^{4}}{4} + C

Popular Examples

derivative of x/(1+x)derivative of

\frac{x}{1 + x}

inverse oflaplace s/(2s^2+1)inverse laplace

\frac{s}{2 s ^{2} + 1}

derivative of 1/3 sec^3(2x-sec(2x))

\frac{d}{d x} (\frac{1}{3} sec^{3} (2 x) - sec (2 x))

integral from-1 to 1 of 1/((1+x^2)^2)

\int_{- 1}^{1} \frac{1}{( 1 + x ^{2} ) ^{2}} d x

limit as x approaches 1 of (x^3)/(x^2-1)

x \to 1 lim (\frac{x ^{3}}{x ^{2} - 1})

Frequently Asked Questions (FAQ)

What is the integral of bx^3 ?
The integral of bx^3 is (bx^4)/4+C