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RS AGGARWAL-INDEFINITE INTEGRAL -Exercise 12
- Evaluated : (i) intx^(7)d, (ii) intx^(-7)dx , (iii) intx^(-1)dx (...
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- (i) int(6x^(5) - 2/(x^(4)) - 7x + 3/x - 5 + 4e^(x) + 7^(x))dx (ii) i...
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- (i) int(2x-5x) (3+2x) (1-x) dx, (ii) int sqrt(x) (ax^(2) + bx + c) dx ...
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- (i) int(x^(2) - 1/(x^(2)))^(3) dx , (ii) int(sqrt(x) -1/(sqrt(x))) dx ...
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- int[1+(1)/((1+x^(2)))-(2)/(sqrt(1-x^(2)))+(5)/(x sqrt(x^(2)-1))+a^(x)]...
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- (i) int((x^(2) - 1)/(x^(2) + 1))dx , (ii) int ((x^(6)- 1)/(x^(2) + 1))...
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- int(9sinx - 7 cosx - 6/(cos^(2)x) + 2/(sin^(2)x)+ cot^(2)x) dx
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- int((cotx)/(sinx) - tan^(2)x -(tanx)/(cosx) + 2/(cosx)) dx
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- (i) intsecx (secx +tanx) dx (ii) intcosec x(cosecx + cot x)dx
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- (i)int (tanx + cot x)^(2) dx , (ii) int((1+2 sinx)/(cos^(2)x))dx , (i...
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- (i) int(tanx)/((sec x +tanx))dx , (ii) int(1)/((1-sinx))dx
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- (i) int (tanx)/((secx + tanx))dx ,(ii) int(cosecx)/((cosecx- cotx))dx
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- (i) int (cosx)/(1+cosx)dx , (ii) int (sinx)/((1-sinx))dx
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- (i) int sqrt(1+cos2x) dx , (ii) intsqrt(1-cos2x)dx
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- (i) int(1)/((1+cos2x))dx , (ii) int (1)/((1-cos2x)) dx
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- int sqrt(1+sin2x)dx
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- int (sin^3x+cos^3x)/(sin^2x*cos^2x)dx
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- int tan^(-1) ((sin2x)/(1+cos 2x))dx
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- intcos^(-1) ((1+tan^(2)x)/(1+tan^(2) x)) dx
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- int cos^(-1) (sinx) dx
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