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BODY BOOKS PUBLICATION-INTEGRALS-EXERCISE
- Let z=sinx-cosx. Show that 1-z^2=sin2x.
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- Let z=sinx-cosx. Compute int(cosx+sinx)/sqrt(sin 2x)
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- Integral of (4x+3)^10=?
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- Evaluate intdx/(2+sinx+cosx.
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- If x^n=t, Show that 1/xdx=1/(nt)dt and hence evaluate intdx/(x(x^n+1))...
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- If e^x=t, show that dx=1/tdt and hence evaluate intdx/(1-e^x).
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- Evaluate int(x^2+1)/(x^4+1)dx.
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- Evaluate int(x^2-1)/(x^4+x^2+1)dx.
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- Evaluate intsin^5xdx.
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- Evaluate intsin^3xcos^4xdx.
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- Evaluate I=int1/(1+cotx)dx.
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- Evaluate int(1-tanx)/(1+tanx)dx.
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- Evaluate intdx/((x+1)(sqrtx^2-1)).
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- Evaluate intdx/((1+x^2)(1-sqrtx^2)).
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- inte^xsecx(1+tanx)dx=......
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- Find intfrac(2+sin2x)(1+cos2x)e^xdx
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- Consider f(x)={(4x+3,1lexle2),(3x+5,2lexle4):} Evaluate int1^2f(x)dx a...
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- Consider f(x)={(4x+3,1lexle2),(3x+5,2lexle4):} Evaluate int1^4f(x)dx
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- Evaluate the following : int1/(1+e^x)dx.
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- Evaluate the following : intx^2cosxdx.
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