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Popular >

integral of 2x+5x

Solution

\int 2 x + 5 x d x

Solution

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

Solution steps

\int 2 x + 5 x 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 2 x d x + \int 5 x d x

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

\int 5 x d x = \frac{5 x ^{2}}{2}

= x^{2} + \frac{5 x ^{2}}{2}

Add a constant to the solution

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

Popular Examples

integral of xe^{((x^2))/2}

\int x e^{\frac{( x ^{2} )}{2}} d x

integral of e^{1/6 x}

\int e^{\frac{1}{6} x} d x

integral of 1/(x(ln(x))^{1/3)}

\int \frac{1}{x ( ln ( x ) ) ^{\frac{1}{3}}} d x

integral of xln(e^{x^2})

\int x ln (e^{x^{2}}) d x

integral of sqrt(x^2+17)

\int x^{2} + 17 d x

Frequently Asked Questions (FAQ)

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