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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

Graph

Popular Examples

integral of (n-1)/n e^{(n-1)x}

\int \frac{n - 1}{n} e^{(n - 1) x} d x

integral of (e^2)/2

\int \frac{e ^{2}}{2}

integral of (5x^2)/((36+x^2)^2)

\int \frac{5 x ^{2}}{( 36 + x ^{2} ) ^{2}} d x

integral of (4x^{1/3}+1)

\int (4 x^{\frac{1}{3}} + 1) d x

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

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

Frequently Asked Questions (FAQ)

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