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Popular >

integral of 3x^24x^4

Solution

\int 3 x^{2} 4 x^{4} d x

Solution

\frac{12 x ^{7}}{7} + C

Solution steps

\int 3 x^{2} \cdot 4 x^{4} d x

Take the constant out:

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

= 3 \cdot 4 \cdot \int x^{2} x^{4} d x

Simplify

= 12 \cdot \int x^{2} x^{4} d x

Simplify

x^{2} x^{4} : x^{6}

= 12 \cdot \int x^{6} d x

Apply the Power Rule

: \frac{x ^{7}}{7}

= 12 \cdot \frac{x ^{7}}{7}

Multiply fractions:

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

= \frac{12 x ^{7}}{7}

Add a constant to the solution

= \frac{12 x ^{7}}{7} + C

Popular Examples

limit as x approaches 0 of 4-5x

x \to 0 lim (4 - 5 x)

derivative of f(x)=x^2-5,c=3 derivative of

f (x) = x^{2} - 5, c = 3

integral from-2 to 3 of (24)/(x^4)

\int_{- 2}^{3} \frac{24}{x ^{4}} d x

xy^'-3y^2=0,y(e)=1

x y^{^{'}} - 3 y^{2} = 0, y (e) = 1

integral of-e^{2x}sin(e^x)

\int - e^{2 x} sin (e^{x}) d x

Frequently Asked Questions (FAQ)

What is the integral of 3x^24x^4 ?
The integral of 3x^24x^4 is (12x^7)/7+C