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Popular >

integral from 0 to 1 of 2-x^2

Solution

\int_{0}^{1} 2 - x^{2} d x

Solution

\frac{5}{3}

+1

Decimal Notation

1.66666 \dots

Solution steps

\int_{0}^{1} 2 - 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}^{1} 2 d x - \int_{0}^{1} x^{2} d x

\int_{0}^{1} 2 d x = 2

\int_{0}^{1} x^{2} d x = \frac{1}{3}

= 2 - \frac{1}{3}

Simplify

2 - \frac{1}{3} : \frac{5}{3}

= \frac{5}{3}

Popular Examples

tangent of y= x/(1+x^2),(0,0)tangent of

y = \frac{x}{1 + x ^{2}}, (0, 0)

derivative of 1/3 x^3+1

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

(dy)/(dx)=9x^2y^2

\frac{d y}{d x} = 9 x^{2} y^{2}

derivative of sin(x+10tan(x))

\frac{d}{d x} (sin (x) + 10 tan (x))

y^'+0.003y-0.105=0

y^{^{'}} + 0.003 y - 0.105 = 0

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of 2-x^2 ?
The integral from 0 to 1 of 2-x^2 is 5/3