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Varsity KA Admission Model Test 60
60:00
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Question 1 of 100
General Science
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∫ dx (ex+e−x)2 =?
A
1 2(e2x+1) + c
B
−1 2(e2x+1) + c
C
1 2e2x + c
D
−1 2e2x + c Let, e2x + 1 = z ⇒ 2e2xdx = dz ∫ dx (ex+e−x)2 = 1 2 ∫ 2e2xdx (e2x+1)2 = 1 2 ∫ dz z2 = − 1 2. 1 z + c = −1 2(e2x+1) + c
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