What is the integral of (x^2In^3(1+x^3))/(1+x^3) ?

The integral of (x^2In^3(1+x^3))/(1+x^3) is (In^3x^3)/3+C

Popular >

integral of (x^2In^3(1+x^3))/(1+x^3)

\int \frac{x ^{2} I n ^{3} ( 1 + x ^{3} )}{1 + x ^{3}} d x

\frac{I n ^{3} x ^{3}}{3} + C

Solution steps

\int \frac{x ^{2} I n ^{3} ( 1 + x ^{3} )}{1 + x ^{3}} d x

Take the constant out:

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

= I n^{3} \cdot \int \frac{( 1 + x ^{3} ) x ^{2}}{1 + x ^{3}} d x

Cancel the common factor:

1 + x^{3}

= I n^{3} \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= I n^{3} \frac{x ^{3}}{3}

Multiply fractions:

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

= \frac{I n ^{3} x ^{3}}{3}

Add a constant to the solution

= \frac{I n ^{3} x ^{3}}{3} + C

\frac{d}{d x} (e^{i x}^{2})

n = 0 \sum \infty \frac{5}{3 ^{n}}

x \to 2 lim (\frac{2 x ^{2}}{x})

\int y (a - b y^{2}) d y

\int x^{2} x - 1 d x

What is the integral of (x^2In^3(1+x^3))/(1+x^3) ?
The integral of (x^2In^3(1+x^3))/(1+x^3) is (In^3x^3)/3+C