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Popular >

integral of (1+7e^x)

Solution

\int (1 + 7 e^{x}) d x

Solution

x + 7 e^{x} + C

Solution steps

\int 1 + 7 e^{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 1 d x + \int 7 e^{x} d x

\int 1 d x = x

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

= x + 7 e^{x}

Add a constant to the solution

= x + 7 e^{x} + C

Popular Examples

integral of 8cos(x)-8sin(x)

\int 8 cos (x) - 8 sin (x) d x

integral of (x-3)/(2x^3-8x)

\int \frac{x - 3}{2 x ^{3} - 8 x} d x

integral of sqrt(1+4x^4-4x^2)

\int 1 + 4 x^{4} - 4 x^{2} d x

integral of (2sin(w)-1)/(cos^2(w))

\int \frac{2 sin ( w ) - 1}{cos ^{2} ( w )} d w

integral of 2x^4+5x-5

\int 2 x^{4} + 5 x - 5 d x

Frequently Asked Questions (FAQ)

What is the integral of (1+7e^x) ?
The integral of (1+7e^x) is x+7e^x+C