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derivation/integration?
verify by differentiation that the formula is correct.
integral (x/sqrt x^2 +1)dx = sqrt x^2 + 1 + c
Please help! This is for my calculus class so please show me exactly how you get through each step.
2 Answers
- Anonymous1 decade agoFavorite Answer
take the derivative of the right side (remember to use chain rule!):
(d/dx) sqrt(x^2 + 1) + c = 0.5(1/sqrt(x^2) + 1) * 2x = x/sqrt(x^2 + 1)
It checks out
- δοτζοLv 71 decade ago
Take the derivative of the answer to see if it's the same as the integrand, as the directions explicitly tell you.
