Integrate( 2/x+5secxtanx-6cosec^2x+4^x+8)dx?

1 Answer
Ratnaker Mehta
Sep 4, 2017

# 2ln|x|+5secx+6cotx+4^x/ln4+8x+C.#

Explanation:

Using the Standard Forms of Integrals, and the familiar Working

Rules of Integration, we have,

#int(2/x+5secxtanx-6csc^2x+4^x+8)dx,#

#=2int1/xdx+5intsecxtanxdx-6intcsc^2xdx+int4^xdx+8int1dx,#

#=2ln|x|+5secx-6(-cotx)+4^x/ln4+8x,#

#=2ln|x|+5secx+6cotx+4^x/ln4+8x+C.#

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