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a
−18,78
b
78,−18
c
−78,−18
d
18,−78
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Correct option is A
∫3ex−5e−x4ex+5e−xdx=ax+bln4ex+5e−x+cOn differentiating both sides wrt.x3ex−5e−x4ex+5e−x=a+b4ex−5e−x4ex+5e−x3ex−5e−x4ex+5e−x=a4ex+5e−x+b4ex−5e−x4ex+5e−x3ex−5e−x=(4a+4b)ex+(5a−5b)e−x On comparing both sides 4a+4b=3 5a−5b=−5 Solving we get a=−18 b=78Similar Questions
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