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Question Number 208215 Answers: 2 Comments: 0

If (1/R) = (1/R_1 ) + (1/R_2 ) [R_1 , R_2 > 0] and R_1 + R_2 = C (Constant) then prove that R will be maximum when R_1 = R_2 .

$If \frac{1}{R} = \frac{1}{R_{1}} + \frac{1}{R_{2}} [R_{1}, R_{2} > 0] and$ $R_{1} + R_{2} = C (Constant) then prove that$ $R will be maximum when R_{1} = R_{2} .$

Question Number 208205 Answers: 1 Comments: 0

∫ (x^3 . 5^(2x^2 −2) ) dx =?

$\int (x^{3} . 5^{2 x^{2} - 2}) d x = ?$

Question Number 208199 Answers: 2 Comments: 0

Question Number 208194 Answers: 2 Comments: 0

I_n = ∫_(0 ) ^∞ (1/((1+x^2 )^n ))dx prove that Σ_(n=1) ^∞ (I_n /n) = π

$I_{n} = \int_{0}^{\infty} \frac{1}{{(1 + x^{2})}^{n}} d x$ $p r o v e t h a t \underset{n = 1}{\sum^{\infty}} \frac{I_{n}}{n} = π$

Question Number 208187 Answers: 1 Comments: 0

Find: 1,03^(200) = ?

$Find : 1, 03^{200} = ?$

Question Number 208178 Answers: 5 Comments: 3

Question Number 208176 Answers: 1 Comments: 1

Find the value of the folloing integral. determinant ((( 𝛀=∫_0 ^( (𝛑/2)) (( 1)/(1 + (( cosx))^(1/3) )) dx = ? )))

$F i n d t h e v a l u e o f t h e$ $f o l l o i n g i n t e g r a l .$ $\begin{matrix} Ω = \int_{0}^{\frac{π}{2}} \frac{1}{1 + \sqrt[3]{c o s x}} d x = ? \end{matrix}$

Question Number 208173 Answers: 1 Comments: 1

(5/(−∞))=?

$\frac{5}{- \infty} = ?$

Question Number 208167 Answers: 2 Comments: 0

y = 3 cos^2 α + 2 cos α find: max(y) = ?

$y = 3 \cos^{2} α + 2 \cos α$ $find : \max (y) = ?$

Question Number 208164 Answers: 2 Comments: 0

Solve for x: x^2 +x^2 (1−x^2 )+x^2 (1−x^2 )^2 +x^2 (1−x^2 )^3 +...+x^2 (1−x^2 )^(100) =1

$S o l v e f o r x :$ $x^{2} + x^{2} (1 - x^{2}) + x^{2} {(1 - x^{2})}^{2} + x^{2} {(1 - x^{2})}^{3} + . . . + x^{2} {(1 - x^{2})}^{100} = 1$

Question Number 208149 Answers: 3 Comments: 0

Question Number 208148 Answers: 2 Comments: 0

Question Number 208139 Answers: 1 Comments: 0

Question Number 208135 Answers: 1 Comments: 0

⇃

$⇃ \underset{―}{}$

Question Number 208134 Answers: 0 Comments: 0

Question Number 208140 Answers: 1 Comments: 0

∫_0 ^π (dx/(1+((sin x))^(1/3) ))=? exact result required

$\underset{0}{\int^{π}} \frac{d x}{1 + \sqrt[3]{\sin x}} = ?$ $exact result required$

Question Number 208130 Answers: 1 Comments: 0

(1/(cos x−cos 3x)) + (1/(cos x−cos 5x)) + (1/(cos x−cos 7x)) + (1/(cos x−cos 11x))=?

$\frac{1}{\cos x - \cos 3 x} + \frac{1}{\cos x - \cos 5 x} +$ $\frac{1}{\cos x - \cos 7 x} + \frac{1}{\cos x - \cos 11 x} = ?$

Question Number 208129 Answers: 2 Comments: 0

$\underset{⏟}{\pm}$

Question Number 208128 Answers: 0 Comments: 0

Question Number 208122 Answers: 0 Comments: 0

Question Number 208121 Answers: 0 Comments: 2

Question Number 208111 Answers: 3 Comments: 1

Question Number 208110 Answers: 1 Comments: 0

Question Number 208106 Answers: 1 Comments: 0

Question Number 208105 Answers: 0 Comments: 2

Find: (1/4) + (1/8) + (3/(64)) + (4/(256)) + ... + = ?

$Find :$ $\frac{1}{4} + \frac{1}{8} + \frac{3}{64} + \frac{4}{256} + . . . + = ?$

Question Number 208104 Answers: 0 Comments: 0

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