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integral of 1/(a sinx + b cosx + c)...

integral of 1/(a sinx + b cosx + c)

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Step by step text solution for integral of 1/(a sinx + b cosx + c) by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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Type 5: Integration OF [ ( a sinx + b cosx ) / c sinx + d cosx) ] || Partial fraction based question

INDEFINITE INTEGRATION Shortcut || Integration of Form (a Sinx + b Cos x)/(c Sin x+ d Cos x)

Knowledge Check

  • If sinx + cosx = a, then the value of| sinx - cosx| is

    A
    `sqrt(2-a^(2)`
    B
    `sqrt(a^(2)-2)`
    C
    ` sqrt(a^(2)+2)`
    D
    1

  • The value of the integral int(secx)/(sinx+cosx)dx

    A
    `In|1+tanx|+C`
    B
    `In|tanx|+C`
    C
    `tan^(-1)(1+tanx)+C`
    D
    `In|sinx+cosx|.secx+C`

  • If sinx-cosx=1 , where 'x' is an acute angle ,the value of (sinx+cosx) is :

    A
    0
    B
    1
    C
    `(1)/(2)`
    D
    2

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    The number of distinct roots of |(sinx, cosx, cosx),(cosx, sinx, cosx),(cosx,cosx,sinx)|=0 in the interval -pi/4 le x le pi/4 is (A) 0 (B) 2 (C) 1 (4) 2

    Evaluate : { sinx / ( 1 + cosx ) + sinx/( 1 - cosx ) } = ?

    The number of distinct real roots of |(sinx,cosx,cosx),(cosx,sinx,cosx),(cosx,cosx,sinx)|=0 in the interval -pi/4 le x le pi/4 is (a) 0 (b) 2 (c) 1 (d) 3

    Evaluate the following integrals: int(dx)/((2sinx+cosx+3))

    Evaluate the following integrals: inte^(x)(sinx+cosx)dx

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