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Popular >

integral of x^4in(x)

Solution

\int x^{4} in (x) d x

Solution

\frac{in x ^{6}}{6} + C

Solution steps

\int x^{4} in x d x

Take the constant out:

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

= in \cdot \int x^{4} x d x

Simplify

x^{4} x : x^{5}

= in \cdot \int x^{5} d x

Apply the Power Rule

: \frac{x ^{6}}{6}

= in \frac{x ^{6}}{6}

Multiply fractions:

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

= \frac{in x ^{6}}{6}

Add a constant to the solution

= \frac{in x ^{6}}{6} + C

Popular Examples

y^{^{'}} + a^{2} y = 0

(\partial)/(\partial x)(-2sin(2x)-2xe^{5y})

\frac{\partial}{\partial x} (- 2 sin (2 x) - 2 x e^{5 y})

f(s)= s/(s^2+1)

f (s) = \frac{s}{s ^{2} + 1}

integral from-1 to 0 of 3/(3x-2)

\int_{- 1}^{0} \frac{3}{3 x - 2} d x

derivative of f(x)=-3x^2+6x+4 derivative of

f (x) = - 3 x^{2} + 6 x + 4

Frequently Asked Questions (FAQ)

What is the integral of x^4in(x) ?
The integral of x^4in(x) is (inx^6)/6+C