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NEW JOYTHI PUBLICATION-INTEGRALS -ADDITIONAL QUESTIONS FOR PRACTICE 7.11
- int(2)^(8)f(x)dx where f(x)={:{(3x+4",",2lexle3),(x^(2)+4",",3lexle8):...
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- int(1)^(4)f(x)dx where f(x)={:{(4x+3",",1lexle2),(3x+5",",2lexle4):}
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- Evaluate int(0)^(4)|x-1|dx
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- Evaluate int(-4)^(4)|x+2|dx
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- Evaluate int(1)^(4)f(x)dx, where f(x)={:{(2x+8",",1lexle2),(6x",",2l...
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- Evaluate int((pi)/(6))^((pi)/(3))(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))d...
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- int(0)^((pi)/(2))(sec^(3)xdx)/(sec^(3)x+"cosec"^(3)x)
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- int(0)^(pi/2)(cot^(2)xdx)/(tan^(2)x+cot^(2)x)
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- Show that int(0)^((pi)/(2))(tan^(4)x)/(1+tan^(4)x)dx=(pi)/(4)
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- Evaluate int(xdx)/(1+sinx)
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- Show that int(0)^(1)log((1-x)/(x))dx=0
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- int0^(pi)sin^(2m)x cos^(2m+1)x dx=0
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- Evaluate int(0)^(pi)xsin^(3)xdx
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- Evaluate int(0)^(1)x(1-x)^(6)dx
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- Evaluate int(0)^((pi)/(2))(xsinxcosxdx)/(sin^(4)x+cos^(4)x)
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- Find int((-pi)/(4))^(pi/4)|sinx|dx
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- Prove that int(0)^(pi)(xsin^(3)x)/(1+cos^(2)x)dx=pi/2(pi-2)
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