en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3x^2+2y^2

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

derivative of f(x)=cot^2(cos(x))derivative of

f (x) = cot^{2} (cos (x))

tangent of y= 2/(x-6)tangent of

y = \frac{2}{x - 6}

derivative of y=-3x derivative of

y = - 3 x

integral of (-x^8+4)^6x^7

\int (- x^{8} + 4)^{6} x^{7} d x

derivative of y=-(2x^2)/(5y^2)derivative of

y = - \frac{2 x ^{2}}{5 y ^{2}}

Frequently Asked Questions (FAQ)

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