Question

Solve the integrals

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Answer 1

Step-by-step explanation:

10)   e^x(1 + tanx + tan^2x)

= e^x( tanx + sec^2(x))

= e^x( tanx + d(tan(x))/dx)

= e^x.tanx + e^x.d(tan(x))/dx

= d(e^x)/dx.tan(x) + e^x.d(tan(x))/dx

= d(e^x.tan(x))/dx

and int{ d(e^x.tan(x))/dx } = e^x.tan(x)

Answer: e^x.tan(x)

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