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Popular >

integral of x(7-y)

Solution

\int x (7 - y)

Solution

\frac{x ^{2} ( 7 - y )}{2} + C

Solution steps

\int x (7 - y) d x

Take the constant out:

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

= (7 - y) \cdot \int x d x

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

= (7 - y) \frac{x ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{x ^{2} ( 7 - y )}{2}

Add a constant to the solution

= \frac{x ^{2} ( 7 - y )}{2} + C

Popular Examples

integral of 1/(9-4x^2)

\int \frac{1}{9 - 4 x ^{2}} d x

integral from 0 to infinity of f(a+x)

\int_{0}^{\infty} f (a + x) d x

sum from n=0 to infinity of 3/((1+i)^n)

n = 0 \sum \infty \frac{3}{( 1 + i ) ^{n}}

implicit (dy)/(dx),e^y=x implicit derivative

\frac{d y}{d x}, e^{y} = x

d/(du)(usin(v))

\frac{d}{d u} (u sin (v))

Frequently Asked Questions (FAQ)

What is the integral of x(7-y) ?
The integral of x(7-y) is (x^2(7-y))/2+C