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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 (e^{4x})/(e^{4x)+8}

\int \frac{e ^{4 x}}{e ^{4 x} + 8} d x

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\int \frac{( ln ( x ) ) ^{5}}{5 x} d x

integral of (2x-3)/(x^2-3x+5x)

\int \frac{2 x - 3}{x ^{2} - 3 x + 5 x} d x

integral of (tan(x))/(cos^2(x))e^{tan(x)}

\int \frac{tan ( x )}{cos ^{2} ( x )} e^{t a n (x)} d x

integral of 3x^2(x^3-3)^5

\int 3 x^{2} (x^{3} - 3)^{5} d x

Frequently Asked Questions (FAQ)

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