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Q.

∫8x+134x+7dx ==A(4x+7)3/2+B(4x+7)1/2+C then A+B=

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a

16

b

-16

c

13

d

12

answer is B.

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Detailed Solution

∫8x+134x+7dx=∫8x+14−14x+7dx=∫2(4x+7)−14x+7dx=2∫4x+7dx−∫14x+7dx=2(4x+7)3/24×32−(4x+7)1/24×12+C=13(4x+7)3/2−12(4x+7)1/2+C

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