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Popular >

integral of 7x-5

Solution

\int 7 x - 5 d x

Solution

\frac{7 x ^{2}}{2} - 5 x + C

Solution steps

\int 7 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 7 x d x - \int 5 d x

\int 7 x d x = \frac{7 x ^{2}}{2}

\int 5 d x = 5 x

= \frac{7 x ^{2}}{2} - 5 x

Add a constant to the solution

= \frac{7 x ^{2}}{2} - 5 x + C

Popular Examples

integral of sin^2(a)x

\int sin^{2} (a) x d x

integral of-8x^3

\int - 8 x^{3} d x

integral of sqrt(4x^2+25)

\int 4 x^{2} + 25 d x

integral of 1/(sqrt(x)(1-x))

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

integral of (6+4x)/(1+x^2)

\int \frac{6 + 4 x}{1 + x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 7x-5 ?
The integral of 7x-5 is (7x^2)/2-5x+C