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Popular >

integral of 2xinx^2

Solution

\int 2 x in x^{2} d x

Solution

\frac{in x ^{4}}{2} + C

Solution steps

\int 2 x in x^{2} d x

Take the constant out:

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

= 2 in \cdot \int x x^{2} d x

Simplify

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

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

Apply the Power Rule

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

= 2 in \frac{x ^{4}}{4}

Simplify

2 in \frac{x ^{4}}{4} : \frac{in x ^{4}}{2}

= \frac{in x ^{4}}{2}

Add a constant to the solution

= \frac{in x ^{4}}{2} + C

Graph

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\int 4 e^{x} + 9 d x

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

integral of 1/x sin(ln(x))

\int \frac{1}{x} sin (ln (x)) d x

Frequently Asked Questions (FAQ)

What is the integral of 2xinx^2 ?
The integral of 2xinx^2 is (inx^4)/2+C