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+e^y

Solution

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

Solution

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

Solution steps

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

Apply the Sum Rule:

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

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

\int e^{y} d y = e^{y}

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

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

Add a constant to the solution

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

Popular Examples

derivative of-2x+7

\frac{d}{d x} (- 2 x + 7)

derivative of 4e^{-x}derivative of

4 e^{- x}

sum from n=3 to infinity of (4/11)^{-n}

n = 3 \sum \infty (\frac{4}{11})^{- n}

area (x)^{(1/2)},-x^2,0,(1)area

(x)^{(\frac{1}{2})}, - x^{2}, 0, (1)

integral of 10xsqrt(x)

\int 10 x x d x

Frequently Asked Questions (FAQ)

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