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Popular >

integral from 0 to 3 of e^x-x^2

Solution

\int_{0}^{3} e^{x} - x^{2} d x

Solution

e^{3} - 10

+1

Decimal Notation

10.08553 \dots

Solution steps

\int_{0}^{3} e^{x} - x^{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_{0}^{3} e^{x} d x - \int_{0}^{3} x^{2} d x

\int_{0}^{3} e^{x} d x = e^{3} - 1

\int_{0}^{3} x^{2} d x = 9

= e^{3} - 1 - 9

Simplify

= e^{3} - 10

Popular Examples

(\partial)/(\partial x)(yln(x^3+y^4+3)-9)

\frac{\partial}{\partial x} (y ln (x^{3} + y^{4} + 3) - 9)

limit as x approaches 2 of x^2-x+2

x \to 2 lim (x^{2} - x + 2)

y^{^{'}} = t - t y

sum from n=0 to infinity of (10)/n

n = 0 \sum \infty \frac{10}{n}

(dy)/(dt)+ycos(t)= 1/100 cos(t)

\frac{d y}{d t} + y cos (t) = \frac{1}{100} cos (t)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of e^x-x^2 ?
The integral from 0 to 3 of e^x-x^2 is e^3-10