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Popular >

integral of sqrt(-x)

Solution

\int - x d x

Solution

i \frac{1}{3} (- x^{\frac{3}{2}} + 3 x x) + C

Solution steps

\int - x d x

Apply Integration By Parts

: x - x - \int - \frac{x}{2 - x} d x

= x - x - \int - \frac{x}{2 - x} d x

\int - \frac{x}{2 - x} d x = \frac{i x ^{\frac{3}{2}}}{3}

= x - x - \frac{i x ^{\frac{3}{2}}}{3}

Simplify

x - x - \frac{i x ^{\frac{3}{2}}}{3} : i \frac{1}{3} (- x^{\frac{3}{2}} + 3 x x)

= i \frac{1}{3} (- x^{\frac{3}{2}} + 3 x x)

Add a constant to the solution

= i \frac{1}{3} (- x^{\frac{3}{2}} + 3 x x) + C

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x^2y^'+x(x+2)y=e^x

x^{2} y^{^{'}} + x (x + 2) y = e^{x}

Frequently Asked Questions (FAQ)

What is the integral of sqrt(-x) ?
The integral of sqrt(-x) is i 1/3 (-x^{3/2}+3xsqrt(x))+C