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Popular >

integral of x^2x^2+3

Solution

\int x^{2} x^{2} + 3 d x

Solution

\frac{x ^{5}}{5} + 3 x + C

Solution steps

\int x^{2} x^{2} + 3 d x

x^{2} x^{2} = x^{4}

= \int x^{4} + 3 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x^{4} d x + \int 3 d x

\int x^{4} d x = \frac{x ^{5}}{5}

\int 3 d x = 3 x

= \frac{x ^{5}}{5} + 3 x

Add a constant to the solution

= \frac{x ^{5}}{5} + 3 x + C

Popular Examples

(\partial)/(\partial x)((5x)/((3+y)))

\frac{\partial}{\partial x} (\frac{5 x}{( 3 + y )})

y^{^{''}} - 2 y^{^{'}} = 2 x

derivative of f(x)=x^{-2/5}+x^{2/5}derivative of

f (x) = x^{- \frac{2}{5}} + x^{\frac{2}{5}}

(\partial)/(\partial y)((y^2)/(1+x^2))

\frac{\partial}{\partial y} (\frac{y ^{2}}{1 + x ^{2}})

integral of (x-2)/(x^2-7x+12)

\int \frac{x - 2}{x ^{2} - 7 x + 12} d x

Frequently Asked Questions (FAQ)

What is the integral of x^2x^2+3 ?
The integral of x^2x^2+3 is (x^5)/5+3x+C