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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

Popular Examples

integral of x^2e^{x^3}

\int x^{2} e^{x^{3}} d x

derivative of sqrt(1-10x)

\frac{d}{d x} (1 - 10 x)

integral of 1/(13-5cos(x))

\int \frac{1}{13 - 5 cos ( x )} d x

integral of (xsqrt(x^2+5))

\int (x x^{2} + 5) d x

slope of f(x)=4-x^2 slope

f (x) = 4 - x^{2}

Frequently Asked Questions (FAQ)

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