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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-DEFINITE INTEGRATION
- 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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- Prove that int(a)^(b) f(x) dx= int(a)^(b) f(a+b-x) dx
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- Prove that int(0)^(a) f(x) dx= int(0)^(a) f(a-x)dx. Hence find int(0)^...
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- Evaluate int0pi/2(sin^4x)/(sin^4x+cos^4x)""dx
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- Evaluate: int(3)^(8) ((11-x)^(2))/(x^(2)+(11-x)^(2))dx
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- Evaluate: int(-1)^(1) |7x-4|dx
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- Evaluate: int(-4)^(2) (1)/(x^(2) + 4x+13)dx
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- Evaluate: int(0)^(1) (1)/(sqrt(3+2x-x^(2))dx
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- int(0)^(1)xtan^(-1)xdx=
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- int(0)^(1//sqrt(2))(sin^(-1)x)/((1-x^(2))^(3//2))dx=?
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