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Popular Calculus >

integral of 2bx^3

Solution

\int 2 b x^{3} d x

Solution

\frac{b x ^{4}}{2} + C

Solution steps

\int 2 b x^{3} d x

Take the constant out:

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

= 2 b \cdot \int x^{3} d x

Apply the Power Rule

= 2 b \frac{x ^{4}}{4}

Simplify

2 b \frac{x ^{4}}{4} : \frac{b x ^{4}}{2}

= \frac{b x ^{4}}{2}

Add a constant to the solution

= \frac{b x ^{4}}{2} + C

Graph

Popular Examples

derivative of (5x^2-7(3x^2-2x+1))

\frac{d}{d x} ((5 x^{2} - 7) (3 x^{2} - 2 x + 1))

tangent of y= x/(sqrt(4-x)),(3,3)

t an g e n t y = \frac{x}{4 - x}, (3, 3)

- \frac{1}{4 x ^{\frac{3}{2}}}

limit as x approaches-infinity of-x^3

x \to - \infty lim (- x^{3})

(\partial)/(\partial y)(x^ay^{1-a})

\frac{\partial}{\partial y} (x^{a} y^{1 - a})

Frequently Asked Questions (FAQ)

What is the integral of 2bx^3 ?
The integral of 2bx^3 is (bx^4)/2+C