What is the integral of (Inx)^2 ?

The integral of (Inx)^2 is I^2n^2x^3-(2I^2n^2x^3)/3+C

Popular >

integral of (Inx)^2

\int (I n x)^{2} d x

I^{2} n^{2} x^{3} - \frac{2 I ^{2} n ^{2} x ^{3}}{3} + C

Solution steps

\int (I n x)^{2} d x

Apply Integration By Parts

: I^{2} n^{2} x^{3} - \int 2 I^{2} n^{2} x^{2} d x

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

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

= I^{2} n^{2} x^{3} - \frac{2 I ^{2} n ^{2} x ^{3}}{3}

Add a constant to the solution

= I^{2} n^{2} x^{3} - \frac{2 I ^{2} n ^{2} x ^{3}}{3} + C

\int cos (x) + (x^{2} + 1)^{7} \cdot 2 x d x

\frac{d y}{d x}, ln (x y^{3}) = x y

\int \frac{tan ^{3} ( ln ( x ) )}{2 x} d x

f (x) = cos^{5} (x)

arcsec (\frac{1}{4 t ^{5}})

What is the integral of (Inx)^2 ?
The integral of (Inx)^2 is I^2n^2x^3-(2I^2n^2x^3)/3+C