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Popular >

integral of sqrt(x^2)

Solution

\int x^{2} d x

Solution

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

Solution steps

\int x^{2} d x

x^{2} = (x),

assuming

x \geq 0

= \int x d x

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

derivative of (x^6)/6 derivative of

\frac{x ^{6}}{6}

integral of 7e^x

\int 7 e^{x} d x

tangent of f(x)=4x^2+2x,\at x=-2 tangent of

f (x) = 4 x^{2} + 2 x, at x = - 2

inverse oflaplace 1/(s^2+6s+8)inverse laplace

\frac{1}{s ^{2} + 6 s + 8}

derivative of (2-x^2/((2+x^2)^2))

\frac{d}{d x} (\frac{2 - x ^{2}}{( 2 + x ^{2} ) ^{2}})

Frequently Asked Questions (FAQ)

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