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Question Number 36548 Answers: 1 Comments: 0

Question Number 36547 Answers: 3 Comments: 0

∫((5x^4 +4x^5 )/((x^5 +x+1)^2 ))

$\int \frac{5 x^{4} + 4 x^{5}}{{(x^{5} + x + 1)}^{2}}$

Question Number 36546 Answers: 0 Comments: 0

∫(((x−1))/((x+1)(√(x^3 +x^2 +x))))dx

$\int \frac{(x - 1)}{(x + 1) \sqrt{x^{3} + x^{2} + x}} d x$

Question Number 36545 Answers: 2 Comments: 6

∫((2x+1)/((x^2 +4x+1)^(3/2) ))dx

$\int \frac{2 x + 1}{{(x^{2} + 4 x + 1)}^{\frac{3}{2}}} d x$

Question Number 36544 Answers: 1 Comments: 0

∫(dx/(tanx+cotx+secx+cosecx))

$\int \frac{d x}{t a n x + c o t x + s e c x + c o s e c x}$

Question Number 36543 Answers: 0 Comments: 0

∫cot^(−1) (x^2 +x+1) dx

$\int {c o t}^{- 1} (x^{2} + x + 1) d x$

Question Number 36541 Answers: 0 Comments: 1

∫(x+(√(1+x^2 )) )^n dx

$\int {(x + \sqrt{1 + x^{2}})}^{n} d x$

Question Number 36538 Answers: 0 Comments: 1

∫(dx/((a+bx^2 )(√(b−ax^2 ))))

$\int \frac{d x}{(a + {b x}^{2}) \sqrt{b - {a x}^{2}}}$

Question Number 36537 Answers: 0 Comments: 3

Question Number 36980 Answers: 2 Comments: 0

Question Number 36536 Answers: 0 Comments: 0

Question Number 36535 Answers: 0 Comments: 0

∫(dx/(secx+cosecx))

$\int \frac{d x}{s e c x + c o s e c x}$

Question Number 36534 Answers: 0 Comments: 0

Question Number 36533 Answers: 0 Comments: 0

Question Number 36981 Answers: 0 Comments: 3

Question Number 36529 Answers: 2 Comments: 0

A fuse with a circular cross−sectional radius of 0.15 mm blows at 15A. What should be the radius of the cross section of a fuse made of same material that blows at 30A?

$A fuse with a circular cross - sectional$ $radius of 0.15 mm blows at 15 A . What$ $should be the radius of the cross section$ $of a fuse made of same material that$ $blows at 30 A ?$

Question Number 36501 Answers: 0 Comments: 0

Question Number 36491 Answers: 2 Comments: 0

Question Number 36475 Answers: 1 Comments: 1

2 regtangle A and B given that the legnth of A is three times the legnth of B,and the Perimeter of A is 102cm. If the Area of B is same as 2 times the Area of a Trapezium with 2 parrallel sides 5cm and 4cm with hieght 6cm. find the lengths and widths of A and B.

$2 r e g t a n g l e A a n d B g i v e n t h a t$ $t h e l e g n t h o f A i s t h r e e t i m e s t h e$ $l e g n t h o f B, a n d t h e P e r i m e t e r o f$ $A i s 102 c m . I f t h e A r e a o f B i s$ $s a m e a s 2 t i m e s t h e A r e a o f a T r a p e z i u m$ $w i t h 2 p a r r a l l e l s i d e s 5 c m a n d 4 c m$ $w i t h h i e g h t 6 c m . f i n d t h e l e n g t h s$ $a n d w i d t h s o f A a n d B .$

Question Number 36472 Answers: 1 Comments: 0

what is the area of the sector of a circle with Radius 3(1/2)cm at 30° from the centre (take π= ((22)/7)).

$w h a t i s t h e a r e a o f t h e s e c t o r o f a c i r c l e$ $w i t h R a d i u s 3 \frac{1}{2} c m a t 30 ° f r o m t h e$ $c e n t r e (t a k e π = \frac{22}{7}) .$

Question Number 36459 Answers: 2 Comments: 0

∫ e^(tan θ) (sec θ −sin θ) dθ = ?

$\int e^{\tan θ} (\sec θ - \sin θ) d θ = ?$

Question Number 36450 Answers: 1 Comments: 2

Question Number 36444 Answers: 0 Comments: 11

∫ (dx/((2x−7)(√((x−3)(x−4))))) = ?

$\int \frac{d x}{(2 x - 7) \sqrt{(x - 3) (x - 4)}} = ?$

Question Number 36442 Answers: 0 Comments: 6

let f(x)= (√(2+x^2 )) −x 1) calculate lim_(x→+∞) f(x) and lim_(x→−∞) f(x) 2) calculate lim_(x→+∞) ((f(x))/x) and lim_(x→−∞) ((f(x))/x) 3) calculate f^′ (x) and determine its sign 4) give the variation of 5) give the equation of assymptote at point A(1,f(1)) 6) find f^(−1) (x) and calculate (f^(−1) )^′ (x) 7) calculate ∫_0 ^4 f(x)dx .

$l e t f (x) = \sqrt{2 + x^{2}} - x$ $1) c a l c u l a t e {l i m}_{x \to + \infty} f (x) a n d {l i m}_{x \to - \infty} f (x)$ $2) c a l c u l a t e {l i m}_{x \to + \infty} \frac{f (x)}{x} a n d {l i m}_{x \to - \infty} \frac{f (x)}{x}$ $3) c a l c u l a t e f^{^{'}} (x) a n d d e t e r m i n e i t s s i g n$ $4) g i v e t h e v a r i a t i o n o f$ $5) g i v e t h e e q u a t i o n o f a s s y m p t o t e a t p o i n t$ $A (1, f (1))$ $6) f i n d f^{- 1} (x) a n d c a l c u l a t e {(f^{- 1})}^{^{'}} (x)$ $7) c a l c u l a t e \int_{0}^{4} f (x) d x .$

Question Number 36441 Answers: 1 Comments: 1

find ∫ (e^(tanx) /(cos^2 x))dx

$f i n d \int \frac{e^{t a n x}}{{c o s}^{2} x} d x$

Question Number 36440 Answers: 0 Comments: 0

find ∫ (dx/((3+x^2 )^(1/3) ))

$f i n d \int \frac{d x}{{(3 + x^{2})}^{\frac{1}{3}}}$

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