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Popular >

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

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

= 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

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\frac{d}{d x} ((x - 2)^{2} - ln (x))

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

derivative of sin(1-x)

\frac{d}{d x} (sin (1 - x))

Frequently Asked Questions (FAQ)

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