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Popular >

integral of 7-2x

Solution

\int 7 - 2 x d x

Solution

7 x - x^{2} + C

Solution steps

\int 7 - 2 x 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 7 d x - \int 2 x d x

\int 7 d x = 7 x

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

= 7 x - x^{2}

Add a constant to the solution

= 7 x - x^{2} + C

Popular Examples

integral of-0.1x+40

\int - 0.1 x + 40 d x

integral of (cos(5sqrt(t)))/(sqrt(t))

\int \frac{cos ( 5 t )}{t} d t

integral of (sqrt(x))/(e^{sqrt(x))}

\int \frac{x}{e ^{x}} d x

integral of (3cos(x))/(sqrt(1+3sin(x)))

\int \frac{3 cos ( x )}{1 + 3 sin ( x )} d x

integral of (5x)/(x^4+1)

\int \frac{5 x}{x ^{4} + 1} d x

Frequently Asked Questions (FAQ)

What is the integral of 7-2x ?
The integral of 7-2x is 7x-x^2+C