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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 ((2+x))/(sqrt(1-x^2))

\int \frac{( 2 + x )}{1 - x ^{2}} d x

limit as x approaches 1 of \sqrt[x-1]{x}

limit as x approaches 3+of 1/((x-3)^2)

x \to 3 + lim (\frac{1}{( x - 3 ) ^{2}})

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

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

(dy)/((1+4y^2))=-x/((1+x^4))dx

\frac{d y}{( 1 + 4 y ^{2} )} = - \frac{x}{( 1 + x ^{4} )} d x

Frequently Asked Questions (FAQ)

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