What is the integral from-3 to 0 of 1/(sqrt(1-x)) ?

The integral from-3 to 0 of 1/(sqrt(1-x)) is 2

Popular >

integral from-3 to 0 of 1/(sqrt(1-x))

\int_{- 3}^{0} \frac{1}{1 - x} d x

2

Solution steps

\int_{- 3}^{0} \frac{1}{1 - x} d x

Apply u-substitution

: \int_{4}^{1} - \frac{1}{u} d u

= \int_{4}^{1} - \frac{1}{u} d u

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{1}^{4} - \frac{1}{u} d u

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - (- \int_{1}^{4} \frac{1}{u} d u)

Apply the Power Rule

: [2 u^{\frac{1}{2}}]_{1}^{4}

= - (- [2 u^{\frac{1}{2}}]_{1}^{4})

Simplify

- (- [2 u^{\frac{1}{2}}]_{1}^{4}) : [2 u]_{1}^{4}

= [2 u]_{1}^{4}

Compute the boundaries:

2

= 2

\int - x^{2} y^{2} sin (x) + 2 x y^{2} cos (x) d x

(- 10, 9), (- 2, - 5)

{\frac{10}{s ( s + 2 )}}

\frac{d}{d x} (7 (x^{3} - x)^{4})

\int (3 x^{4} - 5 x) d x

What is the integral from-3 to 0 of 1/(sqrt(1-x)) ?
The integral from-3 to 0 of 1/(sqrt(1-x)) is 2