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Popular >

integral of 2xInx^2

Solution

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

Solution

\frac{I n x ^{4}}{2} + C

Solution steps

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

Take the constant out:

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

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

Simplify

x x^{2} : x^{3}

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

Apply the Power Rule

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

= 2 I n \frac{x ^{4}}{4}

Simplify

2 I n \frac{x ^{4}}{4} : \frac{I n x ^{4}}{2}

= \frac{I n x ^{4}}{2}

Add a constant to the solution

= \frac{I n x ^{4}}{2} + C

Popular Examples

derivative of (8^x/(7^x))

\frac{d}{d x} (\frac{8 ^{x}}{7 ^{x}})

integral of v/(v+2)

\int \frac{v}{v + 2} d v

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\int \frac{x ^{2}}{9 + 4 x ^{2}} d x

integral of 3x^2sin(x^3-1)

\int 3 x^{2} sin (x^{3} - 1) d x

derivative of-4t(3t^5-1)^4 derivative of

- 4 t (3 t^{5} - 1)^{4}

Frequently Asked Questions (FAQ)

What is the integral of 2xInx^2 ?
The integral of 2xInx^2 is (Inx^4)/2+C