Question

integration of x/4+x^4​

Answer 1

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Answer 2

Answer:

There is no need to memorise the formula

We will get this integral into the simple form, e^u du

Recall that e^ln4=4

integral 4^x dx=integral (e^ln4)^xdx

set u=ln(4)x

du=ln(4)dx

substitute:

integral e^u(du/ln4)

integral (1/ln4) *e^udu

=(1/ln4) *e^u +C

Substitute back :

(1/ln4)*e^(ln4)x+C

(1/ln4)*(e^ln4)^x +C

= (1/ln4)*4^x+C

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Step-by-step explanation:

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