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Popular >

integral from-1 to 1 of (1-x^2)

Solution

\int_{- 1}^{1} (1 - x^{2}) d x

Solution

\frac{4}{3}

+1

Decimal Notation

1.33333 \dots

Solution steps

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

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

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

= 2 - \frac{2}{3}

Simplify

2 - \frac{2}{3} : \frac{4}{3}

= \frac{4}{3}

Popular Examples

tangent of f(x)=x^2+1,(4,17)tangent of

f (x) = x^{2} + 1, (4, 17)

derivative of h(x)=(x^2-3x+2)(2x^3+1)derivative of

h (x) = (x^{2} - 3 x + 2) (2 x^{3} + 1)

tangent of x^3,\at x=-1 tangent of

x^{3}, at x = - 1

(\partial)/(\partial x)(6yx^5-20y^2x^4)

\frac{\partial}{\partial x} (6 y x^{5} - 20 y^{2} x^{4})

area y=x,y=2sqrt(x)area

y = x, y = 2 x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of (1-x^2) ?
The integral from-1 to 1 of (1-x^2) is 4/3