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a
a=5π4,b∈R
b
a=−5π4,b∈R
c
a=π4,b∈R
d
None of these
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Correct option is B
∫(sin2x−cos2x)dx=12sin(2x−a)+b⇒ 2∫12sin2x−12cos2xdx=12sin(2x−a)+b⇒−2∫12cos2x−12sin2xdx=12sin(2x−a)+b⇒ −2∫cos2x+π4dx=12sin(2x−a)+b⇒ −22sin2x+π4+C=12sin(2x−a)+b⇒ 12sin2x+5π4+C=12sin(2x−a)+b⇒ a=−5π4,b∈RSimilar Questions
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