Solve Int A^mxb^nxdx | Maths Questions - Toppr
SolveGuidesJoin / LoginUse appLogin0You visited us 0 times! Enjoying our articles? Unlock Full Access!Standard XIIMathematicsIntegration by PartsQuestionSolve ∫amxbnxdxOpen in AppSolutionVerified by TopprI=∫amxbnxdx ___ (i)=∫amx.bnxdx=amx∫bnxdx−∫(ddx(amx).∫bnxdx)dx=amx.bnxnlnb−∫amx×m×lna×bnxnlnbdxI=amxbnxnlnb−mnlnalnb∫amxbnxdx⇒I+mnlnalnbI=amxbnxnlnb⇒I(nlnb+mlnanlnb)=amxbnxnlnb⇒I=amxbnxmlna+nlnb
Was this answer helpful?7Similar QuestionsQ1Solve ∫amxbnxdxView SolutionQ2∫amxbnxdxView SolutionQ3Solve:limx→0tan−1xx. solve.View SolutionQ4
I=∫amxbnxdx ___ (i)=∫amx.bnxdx=amx∫bnxdx−∫(ddx(amx).∫bnxdx)dx=amx.bnxnlnb−∫amx×m×lna×bnxnlnbdxI=amxbnxnlnb−mnlnalnb∫amxbnxdx⇒I+mnlnalnbI=amxbnxnlnb⇒I(nlnb+mlnanlnb)=amxbnxnlnb⇒I=amxbnxmlna+nlnb
Was this answer helpful?7Similar QuestionsQ1Solve ∫amxbnxdxView SolutionQ2∫amxbnxdxView SolutionQ3Solve:limx→0tan−1xx. solve.View SolutionQ4Solve the equation, 2cos2θ+3sinθ=0
Or
Solve the equation, sec22x=1−tan2x
View SolutionQ5Solve:
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