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Popular >

integral of 4/x-7e^x

Solution

\int \frac{4}{x} - 7 e^{x} d x

Solution

4 ln ∣ x ∣ - 7 e^{x} + C

Solution steps

\int \frac{4}{x} - 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 \frac{4}{x} d x - \int 7 e^{x} d x

\int \frac{4}{x} d x = 4 ln ∣ x ∣

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

= 4 ln ∣ x ∣ - 7 e^{x}

Add a constant to the solution

= 4 ln ∣ x ∣ - 7 e^{x} + C

Graph

Popular Examples

integral of 8te^{7t}

\int 8 t e^{7 t} d t

tangent of y=x^{3-5x^2}+7x+3 tangent of

y = x^{3 - 5 x^{2}} + 7 x + 3

integral of (x^2+2x-1)/(x(2x-1)(x+2))

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

integral of (sin(x))/(sqrt(1-cos^2(x)))

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

area-3x^2-10x,3 area

- 3 x^{2} - 10 x, 3

Frequently Asked Questions (FAQ)

What is the integral of 4/x-7e^x ?
The integral of 4/x-7e^x is 4ln|x|-7e^x+C