Question

what is the integration of f(x)= 7 integral of e^x ?

Answer 1

7 integral of e^x

Answer 2

i mean this

Answer 3

The answer is 7 integral of e^x

Answer 4

can you tell me the reason please?

Answer 5

What's the integral of e^x?

Answer 6

e is a special number ( appr ox 2.718)
the graph of y = e^x has the property that the value of y at all points on the graph are equal to the slope atthat point

thats is d(e^x) / dx = e^x
so the integral of e^x is also e^x

Answer 7

$$f(x)=7\int e^x\,\mathrm{d}x=7e^x+C_1\\\int f(x)\,\mathrm{d}x=\int\left(7e^x+C_1\right)\,\mathrm{d}x=7e^x+C_1x+C_2$$