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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-DEFINITE INTEGRATION
- Evaluate : int((pi)/(6))^((pi)/(3)) cos x dx .
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- int(-pi//4) ^(pi//4) x^(3) sin^(4) xdx=
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- Evaluate : int0^1 1/(1+x^2)dx
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- Evaluate : int(0)^((pi)/(4)) sec^(2) x dx
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- Evaluate : int(0)^(1) |x|dx
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- Evaluate : int(0)^(1) (-1)/(sqrt(1-x^(2)) )dx
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- Evaluate : int(1)^(2) (x )/(1+x^(2))dx
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- Evaluate : int(0) ^(1)(e^(x))/(sqrt(e^x-1))dx
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- Evaluate : int(0)^((pi)/(2))(sin 2x)/(1+sin^(2) x)dx
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- Evaluate : int(0)^(1) (x+1)^(2)dx
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- Evaluate : int((pi)/(6))^((pi)/(3)) sin^(2) x dx
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- Evaluate : int(0)^(pi//2) sqrt(1- cos 4x) dx
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- Evaluate : (i) int(0)^(pi//2)cos^(3)xdx (ii) int(0)^(pi//2)sin^(4)xdx
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- Evaluate : int(0)^(pi) cos^(2)x.dx
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- int(0)^(pi//4)(tan^(3)x)/((1+cos2x))dx
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- Evaluate : int(0)^((pi)/(4)) (cos x)/(4-sin^(2)x)dx
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- int1^3cos(logx)/x dx
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- Evaluate : int(0)^((pi)/(2)) (sin^(2)x)/((1+cos x)^(2)) dx
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- Evaluate : int(0)^(9) (sqrtx)/(sqrtx+sqrt(9-x)) dx
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- Property 3: inta ^b f(x) dx = inta ^c f(x)dx + intc ^b f(x) dx
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