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Popular >

integral of (3x-5)

Solution

\int (3 x - 5) d x

Solution

\frac{3 x ^{2}}{2} - 5 x + C

Solution steps

\int 3 x - 5 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 3 x d x - \int 5 d x

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

\int 5 d x = 5 x

= \frac{3 x ^{2}}{2} - 5 x

Add a constant to the solution

= \frac{3 x ^{2}}{2} - 5 x + C

Graph

Popular Examples

integral of x^2*e^{-x^2}

\int x^{2} \cdot e^{- x^{2}} d x

area 2-x^2,x area

2 - x^{2}, x

derivative of-4.8x^{1/4}derivative of

- 4.8 x^{\frac{1}{4}}

(\partial)/(\partial x)(8e^{7x-y})

\frac{\partial}{\partial x} (8 e^{7 x - y})

roots Ce^x roots

C e^{x}

Frequently Asked Questions (FAQ)

What is the integral of (3x-5) ?
The integral of (3x-5) is (3x^2)/2-5x+C