en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of ex^2+pi

Solution

\int e x^{2} + π d x

Solution

\frac{e x ^{3}}{3} + π x + C

Solution steps

\int e x^{2} + π 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 e x^{2} d x + \int π d x

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

\int π d x = π x

= \frac{e x ^{3}}{3} + π x

Add a constant to the solution

= \frac{e x ^{3}}{3} + π x + C

Popular Examples

f(x)=arcsin^2(x)

f (x) = arcsin^{2} (x)

limit as x approaches 0+of 6sin(x)ln(x)

x \to 0 + lim (6 sin (x) ln (x))

integral of (x^2)/(10)

\int \frac{x ^{2}}{10} d x

integral of (x^8+1)/(sqrt(x^9+9x))

\int \frac{x ^{8} + 1}{x ^{9} + 9 x} d x

laplacetransform 4^t laplace transform

4^{t}

Frequently Asked Questions (FAQ)

What is the integral of ex^2+pi ?
The integral of ex^2+pi is (ex^3)/3+pix+C