Integration

Question

${ \rm If} \ u = 2v^{-3} +6v, { \rm \ integrating} \ u \ {\rm with \ respect \ to} \ v\ {\rm gives}$

Answer 1

$-v^{-2} +3v^2 +C, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.}$

Answer 2

$-0.5v^{-4} +C, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.}$

Answer 3

$-0.5v^{-4} +12v^2$

Answer 4

$-4v^{-2} +12v^2 +C, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.}$

Answer 5

$-v^{-4} +C, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.}$

Answer 6

$1.3 \times 10^{4}$

Answer 7

$-1.9\times 10^{3}$

Answer 8

$4.6\times 10^{3}$

Answer 9

$2.7\times 10^{4}$

Answer 10

$1.2\times 10^{4}$

Answer 11

$\frac{3}{4}e^{4x} +C, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.}$

Answer 12

$12e^{4x} +C, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.}$

Answer 13

$\frac{3}{4}e^{4x+C}, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.}$

Answer 14

$\frac{3}{5}e^{5x} +C, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.}$

Answer 15

$\frac{3}{4}e^{4x+1} +C, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.}$

Answer 16

$\frac{1}{2}{\rm sin}(4x+\pi) +C, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.}$

Answer 17

$2{\rm sin}(4x+\pi) +C, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.}$

Answer 18

$-\frac{1}{2}{\rm sin}(4x+\pi) +C, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.}$

Answer 19

$-8{\rm sin}(4x+\pi) +C, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.}$

Answer 20

$\frac{1}{2}{\rm cos}(4x+\pi) +C, \ {\rm where} \ C \ {\rm is \ an \ unknown \ constant.}$

Answer 21

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Answer 22

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Answer 23

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Answer 24

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Answer 25

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Resource summary

	Created by Jackie Grant about 8 years ago