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Popular >

integral of 3+2xy^2

Solution

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

Solution

3 x + y^{2} x^{2} + C

Solution steps

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

\int 3 d x = 3 x

\int 2 y^{2} x d x = y^{2} x^{2}

= 3 x + y^{2} x^{2}

Add a constant to the solution

= 3 x + y^{2} x^{2} + C

Popular Examples

integral of 5e^{3x+2}

\int 5 e^{3 x + 2} d x

integral of 10tan^3(x)

\int 10 tan^{3} (x) d x

derivative of (2ln(x)/x)

\frac{d}{d x} (\frac{2 ln ( x )}{x})

tangent of f(x)=7 x/((3+x^2)),\at x=2 tangent of

f (x) = 7 \frac{x}{( 3 + x ^{2} )}, at x = 2

integral of (y^2-y)

\int (y^{2} - y) d y

Frequently Asked Questions (FAQ)

What is the integral of 3+2xy^2 ?
The integral of 3+2xy^2 is 3x+y^2x^2+C