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Popular >

integral of x 1

Solution

\int x \frac{d}{1} d x

Solution

\frac{d x ^{2}}{2} + C

Solution steps

\int x \frac{d}{1} d x

Take the constant out:

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

= d \cdot \int x d x

Apply the Power Rule

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

= d \frac{x ^{2}}{2}

Multiply fractions:

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

= \frac{d x ^{2}}{2}

Add a constant to the solution

= \frac{d x ^{2}}{2} + C

Popular Examples

integral of tan^2(9x)

\int tan^{2} (9 x) d x

integral of (2x^2)/(1+x^4)

\int \frac{2 x ^{2}}{1 + x ^{4}} d x

integral of (L-x)

\int (L - x) d x

integral of xsin((npix)/(40))

\int x sin (\frac{nπ x}{40}) d x

integral of (x^2)/((x^2+8^2)^{3/2)}

\int \frac{x ^{2}}{( x ^{2} + 8 ^{2} ) ^{\frac{3}{2}}} d x

Frequently Asked Questions (FAQ)

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