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Popular >

integral of (6x-7)

Solution

\int (6 x - 7) d x

Solution

3 x^{2} - 7 x + C

Solution steps

\int 6 x - 7 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 6 x d x - \int 7 d x

\int 6 x d x = 3 x^{2}

\int 7 d x = 7 x

= 3 x^{2} - 7 x

Add a constant to the solution

= 3 x^{2} - 7 x + C

Popular Examples

f(x)=(1-2ln(x))/(x^3)

f (x) = \frac{1 - 2 ln ( x )}{x ^{3}}

derivative of sin(3x^2)derivative of

sin (3 x^{2})

area e^x,e^{-2x},x=ln(3)area

e^{x}, e^{- 2 x}, x = ln (3)

area x=y^4,y=sqrt(2-x),y=0 area

x = y^{4}, y = 2 - x, y = 0

integral of sec^3(t)

\int sec^{3} (t) d t

Frequently Asked Questions (FAQ)

What is the integral of (6x-7) ?
The integral of (6x-7) is 3x^2-7x+C