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Popular >

integral of e^x+7x

Solution

\int e^{x} + 7 x d x

Solution

e^{x} + \frac{7 x ^{2}}{2} + C

Solution steps

\int e^{x} + 7 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 e^{x} d x + \int 7 x d x

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

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

= e^{x} + \frac{7 x ^{2}}{2}

Add a constant to the solution

= e^{x} + \frac{7 x ^{2}}{2} + C

Popular Examples

integral of 4xsec^2(x^2)

\int 4 x sec^{2} (x^{2}) d x

integral of (5y^2)/(e^{2y^3)}

\int \frac{5 y ^{2}}{e ^{2 y^{3}}} d y

integral of ln^2(2x^2)

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

integral of (9x)/(sqrt(6x^2+10))

\int \frac{9 x}{6 x ^{2} + 10} d x

integral of 8x^3e^{x^2}

\int 8 x^{3} e^{x^{2}} d x

Frequently Asked Questions (FAQ)

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